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Finding the Fourth Proportional to 177.30, 265.84 and 96.12

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Solution

The fourth proportional to 177.30, 265.84 and 96.12 is: 144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.30 : 265.84 = 96.12 : x
  2. Step 2: Convert to fraction form
    177.30/265.84 = 96.12/x
  3. Step 3: Cross multiply
    177.30x = 265.84 × 96.12
  4. Step 4: Simplify right side
    177.30x = 25,552.54
  5. Step 5: Solve for x
    x = 25,552.54/177.30
  6. Step 6: Final answer
    x = 144.12

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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.