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Finding the Fourth Proportional to 316.78, 474.92 and 100.24

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Solution

The fourth proportional to 316.78, 474.92 and 100.24 is: 150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.78 : 474.92 = 100.24 : x
  2. Step 2: Convert to fraction form
    316.78/474.92 = 100.24/x
  3. Step 3: Cross multiply
    316.78x = 474.92 × 100.24
  4. Step 4: Simplify right side
    316.78x = 47,605.98
  5. Step 5: Solve for x
    x = 47,605.98/316.78
  6. Step 6: Final answer
    x = 150.28

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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.