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Finding the Fourth Proportional to 237.84, 356.72 and 100.92

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Solution

The fourth proportional to 237.84, 356.72 and 100.92 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 356.72 = 100.92 : x
  2. Step 2: Convert to fraction form
    237.84/356.72 = 100.92/x
  3. Step 3: Cross multiply
    237.84x = 356.72 × 100.92
  4. Step 4: Simplify right side
    237.84x = 36,000.18
  5. Step 5: Solve for x
    x = 36,000.18/237.84
  6. Step 6: Final answer
    x = 151.36

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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.