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Finding the Fourth Proportional to 177.52, 245.16 and 144.88

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Solution

The fourth proportional to 177.52, 245.16 and 144.88 is: 200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.52 : 245.16 = 144.88 : x
  2. Step 2: Convert to fraction form
    177.52/245.16 = 144.88/x
  3. Step 3: Cross multiply
    177.52x = 245.16 × 144.88
  4. Step 4: Simplify right side
    177.52x = 35,518.78
  5. Step 5: Solve for x
    x = 35,518.78/177.52
  6. Step 6: Final answer
    x = 200.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.