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Finding the Fourth Proportional to 318.53, 477.84 and 102.17

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Solution

The fourth proportional to 318.53, 477.84 and 102.17 is: 153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.53 : 477.84 = 102.17 : x
  2. Step 2: Convert to fraction form
    318.53/477.84 = 102.17/x
  3. Step 3: Cross multiply
    318.53x = 477.84 × 102.17
  4. Step 4: Simplify right side
    318.53x = 48,820.91
  5. Step 5: Solve for x
    x = 48,820.91/318.53
  6. Step 6: Final answer
    x = 153.27

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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.