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Finding the Fourth Proportional to 177.18, 265.54 and 95.78

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Solution

The fourth proportional to 177.18, 265.54 and 95.78 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.18 : 265.54 = 95.78 : x
  2. Step 2: Convert to fraction form
    177.18/265.54 = 95.78/x
  3. Step 3: Cross multiply
    177.18x = 265.54 × 95.78
  4. Step 4: Simplify right side
    177.18x = 25,432.09
  5. Step 5: Solve for x
    x = 25,432.09/177.18
  6. Step 6: Final answer
    x = 143.54

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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.