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Finding the Fourth Proportional to 177.84, 244.85 and 150.16

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Solution

The fourth proportional to 177.84, 244.85 and 150.16 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 244.85 = 150.16 : x
  2. Step 2: Convert to fraction form
    177.84/244.85 = 150.16/x
  3. Step 3: Cross multiply
    177.84x = 244.85 × 150.16
  4. Step 4: Simplify right side
    177.84x = 36,766.68
  5. Step 5: Solve for x
    x = 36,766.68/177.84
  6. Step 6: Final answer
    x = 206.74

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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.