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Finding the Fourth Proportional to 176.80, 265.74 and 167.80

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Solution

The fourth proportional to 176.80, 265.74 and 167.80 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 265.74 = 167.80 : x
  2. Step 2: Convert to fraction form
    176.80/265.74 = 167.80/x
  3. Step 3: Cross multiply
    176.80x = 265.74 × 167.80
  4. Step 4: Simplify right side
    176.80x = 44,591.17
  5. Step 5: Solve for x
    x = 44,591.17/176.80
  6. Step 6: Final answer
    x = 252.21

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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.