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Finding the Fourth Proportional to 177.81, 266.43 and 116.90

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Solution

The fourth proportional to 177.81, 266.43 and 116.90 is: 175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.81 : 266.43 = 116.90 : x
  2. Step 2: Convert to fraction form
    177.81/266.43 = 116.90/x
  3. Step 3: Cross multiply
    177.81x = 266.43 × 116.90
  4. Step 4: Simplify right side
    177.81x = 31,144.33
  5. Step 5: Solve for x
    x = 31,144.33/177.81
  6. Step 6: Final answer
    x = 175.16

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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.