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Finding the Fourth Proportional to 177.60, 266.67 and 153.42

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Solution

The fourth proportional to 177.60, 266.67 and 153.42 is: 230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 266.67 = 153.42 : x
  2. Step 2: Convert to fraction form
    177.60/266.67 = 153.42/x
  3. Step 3: Cross multiply
    177.60x = 266.67 × 153.42
  4. Step 4: Simplify right side
    177.60x = 40,912.51
  5. Step 5: Solve for x
    x = 40,912.51/177.60
  6. Step 6: Final answer
    x = 230.36

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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.