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Finding the Fourth Proportional to 177.11, 244.24 and 135.66

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Solution

The fourth proportional to 177.11, 244.24 and 135.66 is: 187.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.11 : 244.24 = 135.66 : x
  2. Step 2: Convert to fraction form
    177.11/244.24 = 135.66/x
  3. Step 3: Cross multiply
    177.11x = 244.24 × 135.66
  4. Step 4: Simplify right side
    177.11x = 33,133.26
  5. Step 5: Solve for x
    x = 33,133.26/177.11
  6. Step 6: Final answer
    x = 187.08

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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.