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Finding the Fourth Proportional to 237.80, 356.67 and 75.48

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Solution

The fourth proportional to 237.80, 356.67 and 75.48 is: 113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.80 : 356.67 = 75.48 : x
  2. Step 2: Convert to fraction form
    237.80/356.67 = 75.48/x
  3. Step 3: Cross multiply
    237.80x = 356.67 × 75.48
  4. Step 4: Simplify right side
    237.80x = 26,921.45
  5. Step 5: Solve for x
    x = 26,921.45/237.80
  6. Step 6: Final answer
    x = 113.21

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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.