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Finding the Fourth Proportional to 177.27, 244.65 and 111.75

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Solution

The fourth proportional to 177.27, 244.65 and 111.75 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.27 : 244.65 = 111.75 : x
  2. Step 2: Convert to fraction form
    177.27/244.65 = 111.75/x
  3. Step 3: Cross multiply
    177.27x = 244.65 × 111.75
  4. Step 4: Simplify right side
    177.27x = 27,339.64
  5. Step 5: Solve for x
    x = 27,339.64/177.27
  6. Step 6: Final answer
    x = 154.23

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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.