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Finding the Fourth Proportional to 311.61, 430 and 180.61

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Solution

The fourth proportional to 311.61, 430 and 180.61 is: 249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.61 : 430 = 180.61 : x
  2. Step 2: Convert to fraction form
    311.61/430 = 180.61/x
  3. Step 3: Cross multiply
    311.61x = 430 × 180.61
  4. Step 4: Simplify right side
    311.61x = 77,663.38
  5. Step 5: Solve for x
    x = 77,663.38/311.61
  6. Step 6: Final answer
    x = 249.23

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.