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Finding the Fourth Proportional to 177.25, 266.08 and 81.07

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Solution

The fourth proportional to 177.25, 266.08 and 81.07 is: 121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.25 : 266.08 = 81.07 : x
  2. Step 2: Convert to fraction form
    177.25/266.08 = 81.07/x
  3. Step 3: Cross multiply
    177.25x = 266.08 × 81.07
  4. Step 4: Simplify right side
    177.25x = 21,571.11
  5. Step 5: Solve for x
    x = 21,571.11/177.25
  6. Step 6: Final answer
    x = 121.70

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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.