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Finding the Fourth Proportional to 177.24, 244.71 and 114.25

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Solution

The fourth proportional to 177.24, 244.71 and 114.25 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.24 : 244.71 = 114.25 : x
  2. Step 2: Convert to fraction form
    177.24/244.71 = 114.25/x
  3. Step 3: Cross multiply
    177.24x = 244.71 × 114.25
  4. Step 4: Simplify right side
    177.24x = 27,957.24
  5. Step 5: Solve for x
    x = 27,957.24/177.24
  6. Step 6: Final answer
    x = 157.74

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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.