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Finding the Fourth Proportional to 177.84, 266.62 and 69.62

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Solution

The fourth proportional to 177.84, 266.62 and 69.62 is: 104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 266.62 = 69.62 : x
  2. Step 2: Convert to fraction form
    177.84/266.62 = 69.62/x
  3. Step 3: Cross multiply
    177.84x = 266.62 × 69.62
  4. Step 4: Simplify right side
    177.84x = 18,562.08
  5. Step 5: Solve for x
    x = 18,562.08/177.84
  6. Step 6: Final answer
    x = 104.38

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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.