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Finding the Fourth Proportional to 691.76, 1,037.64 and 178.76

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Solution

The fourth proportional to 691.76, 1,037.64 and 178.76 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.76 : 1,037.64 = 178.76 : x
  2. Step 2: Convert to fraction form
    691.76/1,037.64 = 178.76/x
  3. Step 3: Cross multiply
    691.76x = 1,037.64 × 178.76
  4. Step 4: Simplify right side
    691.76x = 185,488.53
  5. Step 5: Solve for x
    x = 185,488.53/691.76
  6. Step 6: Final answer
    x = 268.14

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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.