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Finding the Fourth Proportional to 177.32, 244.55 and 149.75

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Solution

The fourth proportional to 177.32, 244.55 and 149.75 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.32 : 244.55 = 149.75 : x
  2. Step 2: Convert to fraction form
    177.32/244.55 = 149.75/x
  3. Step 3: Cross multiply
    177.32x = 244.55 × 149.75
  4. Step 4: Simplify right side
    177.32x = 36,621.36
  5. Step 5: Solve for x
    x = 36,621.36/177.32
  6. Step 6: Final answer
    x = 206.53

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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.