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Finding the Fourth Proportional to 318.74, 477.93 and 102.32

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Solution

The fourth proportional to 318.74, 477.93 and 102.32 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.74 : 477.93 = 102.32 : x
  2. Step 2: Convert to fraction form
    318.74/477.93 = 102.32/x
  3. Step 3: Cross multiply
    318.74x = 477.93 × 102.32
  4. Step 4: Simplify right side
    318.74x = 48,901.80
  5. Step 5: Solve for x
    x = 48,901.80/318.74
  6. Step 6: Final answer
    x = 153.42

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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.