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Finding the Fourth Proportional to 237.39, 356.10 and 83.30

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Solution

The fourth proportional to 237.39, 356.10 and 83.30 is: 124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.39 : 356.10 = 83.30 : x
  2. Step 2: Convert to fraction form
    237.39/356.10 = 83.30/x
  3. Step 3: Cross multiply
    237.39x = 356.10 × 83.30
  4. Step 4: Simplify right side
    237.39x = 29,661.35
  5. Step 5: Solve for x
    x = 29,661.35/237.39
  6. Step 6: Final answer
    x = 124.95

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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.