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Finding the Fourth Proportional to 177.86, 264.96 and 171.32

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Solution

The fourth proportional to 177.86, 264.96 and 171.32 is: 255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.86 : 264.96 = 171.32 : x
  2. Step 2: Convert to fraction form
    177.86/264.96 = 171.32/x
  3. Step 3: Cross multiply
    177.86x = 264.96 × 171.32
  4. Step 4: Simplify right side
    177.86x = 45,393.61
  5. Step 5: Solve for x
    x = 45,393.61/177.86
  6. Step 6: Final answer
    x = 255.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.