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Finding the Fourth Proportional to 177.96, 266.67 and 135.24

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Solution

The fourth proportional to 177.96, 266.67 and 135.24 is: 202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.96 : 266.67 = 135.24 : x
  2. Step 2: Convert to fraction form
    177.96/266.67 = 135.24/x
  3. Step 3: Cross multiply
    177.96x = 266.67 × 135.24
  4. Step 4: Simplify right side
    177.96x = 36,064.45
  5. Step 5: Solve for x
    x = 36,064.45/177.96
  6. Step 6: Final answer
    x = 202.65

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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.