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Finding the Fourth Proportional to 177.32, 266.02 and 69.05

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Solution

The fourth proportional to 177.32, 266.02 and 69.05 is: 103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 266.02 = 69.05 : x
  2. Step 2: Convert to fraction form
    177.32/266.02 = 69.05/x
  3. Step 3: Cross multiply
    177.32x = 266.02 × 69.05
  4. Step 4: Simplify right side
    177.32x = 18,369.17
  5. Step 5: Solve for x
    x = 18,369.17/177.32
  6. Step 6: Final answer
    x = 103.59

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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.