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Finding the Fourth Proportional to 237.38, 355.54 and 145.95

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Solution

The fourth proportional to 237.38, 355.54 and 145.95 is: 218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.38 : 355.54 = 145.95 : x
  2. Step 2: Convert to fraction form
    237.38/355.54 = 145.95/x
  3. Step 3: Cross multiply
    237.38x = 355.54 × 145.95
  4. Step 4: Simplify right side
    237.38x = 51,891.64
  5. Step 5: Solve for x
    x = 51,891.64/237.38
  6. Step 6: Final answer
    x = 218.60

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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.