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Finding the Fourth Proportional to 237.34, 356.03 and 100.47

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Solution

The fourth proportional to 237.34, 356.03 and 100.47 is: 150.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.34 : 356.03 = 100.47 : x
  2. Step 2: Convert to fraction form
    237.34/356.03 = 100.47/x
  3. Step 3: Cross multiply
    237.34x = 356.03 × 100.47
  4. Step 4: Simplify right side
    237.34x = 35,770.33
  5. Step 5: Solve for x
    x = 35,770.33/237.34
  6. Step 6: Final answer
    x = 150.71

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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.