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Finding the Fourth Proportional to 177.78, 266.37 and 160.47

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Solution

The fourth proportional to 177.78, 266.37 and 160.47 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 266.37 = 160.47 : x
  2. Step 2: Convert to fraction form
    177.78/266.37 = 160.47/x
  3. Step 3: Cross multiply
    177.78x = 266.37 × 160.47
  4. Step 4: Simplify right side
    177.78x = 42,744.39
  5. Step 5: Solve for x
    x = 42,744.39/177.78
  6. Step 6: Final answer
    x = 240.43

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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.