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Finding the Fourth Proportional to 178.66, 268.13 and 137.76

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Solution

The fourth proportional to 178.66, 268.13 and 137.76 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.66 : 268.13 = 137.76 : x
  2. Step 2: Convert to fraction form
    178.66/268.13 = 137.76/x
  3. Step 3: Cross multiply
    178.66x = 268.13 × 137.76
  4. Step 4: Simplify right side
    178.66x = 36,937.59
  5. Step 5: Solve for x
    x = 36,937.59/178.66
  6. Step 6: Final answer
    x = 206.75

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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.