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Finding the Fourth Proportional to 318.38, 477.35 and 156.18

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Solution

The fourth proportional to 318.38, 477.35 and 156.18 is: 234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.38 : 477.35 = 156.18 : x
  2. Step 2: Convert to fraction form
    318.38/477.35 = 156.18/x
  3. Step 3: Cross multiply
    318.38x = 477.35 × 156.18
  4. Step 4: Simplify right side
    318.38x = 74,552.34
  5. Step 5: Solve for x
    x = 74,552.34/318.38
  6. Step 6: Final answer
    x = 234.16

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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.