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Finding the Fourth Proportional to 176.60, 264.96 and 95.44

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Solution

The fourth proportional to 176.60, 264.96 and 95.44 is: 143.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.60 : 264.96 = 95.44 : x
  2. Step 2: Convert to fraction form
    176.60/264.96 = 95.44/x
  3. Step 3: Cross multiply
    176.60x = 264.96 × 95.44
  4. Step 4: Simplify right side
    176.60x = 25,287.78
  5. Step 5: Solve for x
    x = 25,287.78/176.60
  6. Step 6: Final answer
    x = 143.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.