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Finding the Fourth Proportional to 177.36, 266.97 and 160.60

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Solution

The fourth proportional to 177.36, 266.97 and 160.60 is: 241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 266.97 = 160.60 : x
  2. Step 2: Convert to fraction form
    177.36/266.97 = 160.60/x
  3. Step 3: Cross multiply
    177.36x = 266.97 × 160.60
  4. Step 4: Simplify right side
    177.36x = 42,875.38
  5. Step 5: Solve for x
    x = 42,875.38/177.36
  6. Step 6: Final answer
    x = 241.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.