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Finding the Fourth Proportional to 237.52, 354.65 and 194.14

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Solution

The fourth proportional to 237.52, 354.65 and 194.14 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.52 : 354.65 = 194.14 : x
  2. Step 2: Convert to fraction form
    237.52/354.65 = 194.14/x
  3. Step 3: Cross multiply
    237.52x = 354.65 × 194.14
  4. Step 4: Simplify right side
    237.52x = 68,851.75
  5. Step 5: Solve for x
    x = 68,851.75/237.52
  6. Step 6: Final answer
    x = 289.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.