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Finding the Fourth Proportional to 176.85, 244.02 and 149.16

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Solution

The fourth proportional to 176.85, 244.02 and 149.16 is: 205.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.85 : 244.02 = 149.16 : x
  2. Step 2: Convert to fraction form
    176.85/244.02 = 149.16/x
  3. Step 3: Cross multiply
    176.85x = 244.02 × 149.16
  4. Step 4: Simplify right side
    176.85x = 36,398.02
  5. Step 5: Solve for x
    x = 36,398.02/176.85
  6. Step 6: Final answer
    x = 205.81

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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.