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Finding the Fourth Proportional to 178.64, 267.93 and 81.08

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Solution

The fourth proportional to 178.64, 267.93 and 81.08 is: 121.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.64 : 267.93 = 81.08 : x
  2. Step 2: Convert to fraction form
    178.64/267.93 = 81.08/x
  3. Step 3: Cross multiply
    178.64x = 267.93 × 81.08
  4. Step 4: Simplify right side
    178.64x = 21,722.42
  5. Step 5: Solve for x
    x = 21,722.42/178.64
  6. Step 6: Final answer
    x = 121.60

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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.