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Finding the Fourth Proportional to 179.38, 270.62 and 174.52

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Solution

The fourth proportional to 179.38, 270.62 and 174.52 is: 263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.38 : 270.62 = 174.52 : x
  2. Step 2: Convert to fraction form
    179.38/270.62 = 174.52/x
  3. Step 3: Cross multiply
    179.38x = 270.62 × 174.52
  4. Step 4: Simplify right side
    179.38x = 47,228.60
  5. Step 5: Solve for x
    x = 47,228.60/179.38
  6. Step 6: Final answer
    x = 263.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.