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Finding the Fourth Proportional to 317.29, 476.14 and 154.89

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Solution

The fourth proportional to 317.29, 476.14 and 154.89 is: 232.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.29 : 476.14 = 154.89 : x
  2. Step 2: Convert to fraction form
    317.29/476.14 = 154.89/x
  3. Step 3: Cross multiply
    317.29x = 476.14 × 154.89
  4. Step 4: Simplify right side
    317.29x = 73,747.45
  5. Step 5: Solve for x
    x = 73,747.45/317.29
  6. Step 6: Final answer
    x = 232.43

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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.