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Finding the Fourth Proportional to 177.98, 266.79 and 144.02

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Solution

The fourth proportional to 177.98, 266.79 and 144.02 is: 215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.98 : 266.79 = 144.02 : x
  2. Step 2: Convert to fraction form
    177.98/266.79 = 144.02/x
  3. Step 3: Cross multiply
    177.98x = 266.79 × 144.02
  4. Step 4: Simplify right side
    177.98x = 38,423.10
  5. Step 5: Solve for x
    x = 38,423.10/177.98
  6. Step 6: Final answer
    x = 215.88

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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.