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Finding the Fourth Proportional to 176.80, 264.96 and 149.84

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Solution

The fourth proportional to 176.80, 264.96 and 149.84 is: 224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 264.96 = 149.84 : x
  2. Step 2: Convert to fraction form
    176.80/264.96 = 149.84/x
  3. Step 3: Cross multiply
    176.80x = 264.96 × 149.84
  4. Step 4: Simplify right side
    176.80x = 39,701.61
  5. Step 5: Solve for x
    x = 39,701.61/176.80
  6. Step 6: Final answer
    x = 224.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.