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Finding the Fourth Proportional to 178.58, 268.22 and 132.76

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Solution

The fourth proportional to 178.58, 268.22 and 132.76 is: 199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.58 : 268.22 = 132.76 : x
  2. Step 2: Convert to fraction form
    178.58/268.22 = 132.76/x
  3. Step 3: Cross multiply
    178.58x = 268.22 × 132.76
  4. Step 4: Simplify right side
    178.58x = 35,608.89
  5. Step 5: Solve for x
    x = 35,608.89/178.58
  6. Step 6: Final answer
    x = 199.40

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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.