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Finding the Fourth Proportional to 178.24, 266.64 and 132.72

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Solution

The fourth proportional to 178.24, 266.64 and 132.72 is: 198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.24 : 266.64 = 132.72 : x
  2. Step 2: Convert to fraction form
    178.24/266.64 = 132.72/x
  3. Step 3: Cross multiply
    178.24x = 266.64 × 132.72
  4. Step 4: Simplify right side
    178.24x = 35,388.46
  5. Step 5: Solve for x
    x = 35,388.46/178.24
  6. Step 6: Final answer
    x = 198.54

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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.