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Finding the Fourth Proportional to 177.12, 244.49 and 149.49

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Solution

The fourth proportional to 177.12, 244.49 and 149.49 is: 206.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 244.49 = 149.49 : x
  2. Step 2: Convert to fraction form
    177.12/244.49 = 149.49/x
  3. Step 3: Cross multiply
    177.12x = 244.49 × 149.49
  4. Step 4: Simplify right side
    177.12x = 36,548.06
  5. Step 5: Solve for x
    x = 36,548.06/177.12
  6. Step 6: Final answer
    x = 206.35

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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.