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Finding the Fourth Proportional to 178.76, 268.28 and 101.80

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Solution

The fourth proportional to 178.76, 268.28 and 101.80 is: 152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.76 : 268.28 = 101.80 : x
  2. Step 2: Convert to fraction form
    178.76/268.28 = 101.80/x
  3. Step 3: Cross multiply
    178.76x = 268.28 × 101.80
  4. Step 4: Simplify right side
    178.76x = 27,310.90
  5. Step 5: Solve for x
    x = 27,310.90/178.76
  6. Step 6: Final answer
    x = 152.78

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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.