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Finding the Fourth Proportional to 178.23, 267.24 and 101.16

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Solution

The fourth proportional to 178.23, 267.24 and 101.16 is: 151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.23 : 267.24 = 101.16 : x
  2. Step 2: Convert to fraction form
    178.23/267.24 = 101.16/x
  3. Step 3: Cross multiply
    178.23x = 267.24 × 101.16
  4. Step 4: Simplify right side
    178.23x = 27,034.00
  5. Step 5: Solve for x
    x = 27,034.00/178.23
  6. Step 6: Final answer
    x = 151.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.