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Finding the Fourth Proportional to 177.12, 264.96 and 144.48

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Solution

The fourth proportional to 177.12, 264.96 and 144.48 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 264.96 = 144.48 : x
  2. Step 2: Convert to fraction form
    177.12/264.96 = 144.48/x
  3. Step 3: Cross multiply
    177.12x = 264.96 × 144.48
  4. Step 4: Simplify right side
    177.12x = 38,281.42
  5. Step 5: Solve for x
    x = 38,281.42/177.12
  6. Step 6: Final answer
    x = 216.13

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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.