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Finding the Fourth Proportional to 177.42, 266.14 and 105.14

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Solution

The fourth proportional to 177.42, 266.14 and 105.14 is: 157.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.42 : 266.14 = 105.14 : x
  2. Step 2: Convert to fraction form
    177.42/266.14 = 105.14/x
  3. Step 3: Cross multiply
    177.42x = 266.14 × 105.14
  4. Step 4: Simplify right side
    177.42x = 27,981.96
  5. Step 5: Solve for x
    x = 27,981.96/177.42
  6. Step 6: Final answer
    x = 157.72

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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.