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Finding the Fourth Proportional to 177.56, 265.80 and 158.48

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Solution

The fourth proportional to 177.56, 265.80 and 158.48 is: 237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 265.80 = 158.48 : x
  2. Step 2: Convert to fraction form
    177.56/265.80 = 158.48/x
  3. Step 3: Cross multiply
    177.56x = 265.80 × 158.48
  4. Step 4: Simplify right side
    177.56x = 42,123.98
  5. Step 5: Solve for x
    x = 42,123.98/177.56
  6. Step 6: Final answer
    x = 237.24

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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.