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Finding the Fourth Proportional to 177.13, 244.42 and 111.63

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Solution

The fourth proportional to 177.13, 244.42 and 111.63 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.13 : 244.42 = 111.63 : x
  2. Step 2: Convert to fraction form
    177.13/244.42 = 111.63/x
  3. Step 3: Cross multiply
    177.13x = 244.42 × 111.63
  4. Step 4: Simplify right side
    177.13x = 27,283.66
  5. Step 5: Solve for x
    x = 27,283.66/177.13
  6. Step 6: Final answer
    x = 154.03

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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.