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Finding the Fourth Proportional to 237.42, 355.50 and 185.76

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Solution

The fourth proportional to 237.42, 355.50 and 185.76 is: 278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.42 : 355.50 = 185.76 : x
  2. Step 2: Convert to fraction form
    237.42/355.50 = 185.76/x
  3. Step 3: Cross multiply
    237.42x = 355.50 × 185.76
  4. Step 4: Simplify right side
    237.42x = 66,037.68
  5. Step 5: Solve for x
    x = 66,037.68/237.42
  6. Step 6: Final answer
    x = 278.15

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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.