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Finding the Fourth Proportional to 341.91, 513.23 and 149.67

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Solution

The fourth proportional to 341.91, 513.23 and 149.67 is: 224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.91 : 513.23 = 149.67 : x
  2. Step 2: Convert to fraction form
    341.91/513.23 = 149.67/x
  3. Step 3: Cross multiply
    341.91x = 513.23 × 149.67
  4. Step 4: Simplify right side
    341.91x = 76,814.39
  5. Step 5: Solve for x
    x = 76,814.39/341.91
  6. Step 6: Final answer
    x = 224.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.