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Finding the Fourth Proportional to 177.68, 266.52 and 92.08

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Solution

The fourth proportional to 177.68, 266.52 and 92.08 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 266.52 = 92.08 : x
  2. Step 2: Convert to fraction form
    177.68/266.52 = 92.08/x
  3. Step 3: Cross multiply
    177.68x = 266.52 × 92.08
  4. Step 4: Simplify right side
    177.68x = 24,541.16
  5. Step 5: Solve for x
    x = 24,541.16/177.68
  6. Step 6: Final answer
    x = 138.12

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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.