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Finding the Fourth Proportional to 177.32, 265.78 and 96.22

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Solution

The fourth proportional to 177.32, 265.78 and 96.22 is: 144.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 265.78 = 96.22 : x
  2. Step 2: Convert to fraction form
    177.32/265.78 = 96.22/x
  3. Step 3: Cross multiply
    177.32x = 265.78 × 96.22
  4. Step 4: Simplify right side
    177.32x = 25,573.80
  5. Step 5: Solve for x
    x = 25,573.80/177.32
  6. Step 6: Final answer
    x = 144.22

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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.