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Finding the Fourth Proportional to 177.44, 245.28 and 148.82

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Solution

The fourth proportional to 177.44, 245.28 and 148.82 is: 205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.44 : 245.28 = 148.82 : x
  2. Step 2: Convert to fraction form
    177.44/245.28 = 148.82/x
  3. Step 3: Cross multiply
    177.44x = 245.28 × 148.82
  4. Step 4: Simplify right side
    177.44x = 36,502.57
  5. Step 5: Solve for x
    x = 36,502.57/177.44
  6. Step 6: Final answer
    x = 205.72

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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.