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Finding the Fourth Proportional to 177.15, 265.82 and 95.99

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Solution

The fourth proportional to 177.15, 265.82 and 95.99 is: 144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.15 : 265.82 = 95.99 : x
  2. Step 2: Convert to fraction form
    177.15/265.82 = 95.99/x
  3. Step 3: Cross multiply
    177.15x = 265.82 × 95.99
  4. Step 4: Simplify right side
    177.15x = 25,516.06
  5. Step 5: Solve for x
    x = 25,516.06/177.15
  6. Step 6: Final answer
    x = 144.04

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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.