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Finding the Fourth Proportional to 237.50, 356.33 and 83.54

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Solution

The fourth proportional to 237.50, 356.33 and 83.54 is: 125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.50 : 356.33 = 83.54 : x
  2. Step 2: Convert to fraction form
    237.50/356.33 = 83.54/x
  3. Step 3: Cross multiply
    237.50x = 356.33 × 83.54
  4. Step 4: Simplify right side
    237.50x = 29,767.81
  5. Step 5: Solve for x
    x = 29,767.81/237.50
  6. Step 6: Final answer
    x = 125.34

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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.