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Finding the Fourth Proportional to 177.91, 265.48 and 157.40

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Solution

The fourth proportional to 177.91, 265.48 and 157.40 is: 234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.91 : 265.48 = 157.40 : x
  2. Step 2: Convert to fraction form
    177.91/265.48 = 157.40/x
  3. Step 3: Cross multiply
    177.91x = 265.48 × 157.40
  4. Step 4: Simplify right side
    177.91x = 41,787.22
  5. Step 5: Solve for x
    x = 41,787.22/177.91
  6. Step 6: Final answer
    x = 234.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.