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Finding the Fourth Proportional to 237.33, 356.07 and 100.31

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Solution

The fourth proportional to 237.33, 356.07 and 100.31 is: 150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.33 : 356.07 = 100.31 : x
  2. Step 2: Convert to fraction form
    237.33/356.07 = 100.31/x
  3. Step 3: Cross multiply
    237.33x = 356.07 × 100.31
  4. Step 4: Simplify right side
    237.33x = 35,716.94
  5. Step 5: Solve for x
    x = 35,716.94/237.33
  6. Step 6: Final answer
    x = 150.49

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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.