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Finding the Fourth Proportional to 311.88, 430.53 and 214.14

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Solution

The fourth proportional to 311.88, 430.53 and 214.14 is: 295.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 430.53 = 214.14 : x
  2. Step 2: Convert to fraction form
    311.88/430.53 = 214.14/x
  3. Step 3: Cross multiply
    311.88x = 430.53 × 214.14
  4. Step 4: Simplify right side
    311.88x = 92,193.69
  5. Step 5: Solve for x
    x = 92,193.69/311.88
  6. Step 6: Final answer
    x = 295.61

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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.