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Finding the Fourth Proportional to 177.49, 244.67 and 114.46

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Solution

The fourth proportional to 177.49, 244.67 and 114.46 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.49 : 244.67 = 114.46 : x
  2. Step 2: Convert to fraction form
    177.49/244.67 = 114.46/x
  3. Step 3: Cross multiply
    177.49x = 244.67 × 114.46
  4. Step 4: Simplify right side
    177.49x = 28,004.93
  5. Step 5: Solve for x
    x = 28,004.93/177.49
  6. Step 6: Final answer
    x = 157.78

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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.