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Finding the Fourth Proportional to 237.82, 356.71 and 75.50

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Solution

The fourth proportional to 237.82, 356.71 and 75.50 is: 113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 356.71 = 75.50 : x
  2. Step 2: Convert to fraction form
    237.82/356.71 = 75.50/x
  3. Step 3: Cross multiply
    237.82x = 356.71 × 75.50
  4. Step 4: Simplify right side
    237.82x = 26,931.61
  5. Step 5: Solve for x
    x = 26,931.61/237.82
  6. Step 6: Final answer
    x = 113.24

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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.