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Finding the Fourth Proportional to 180.86, 270.25 and 174.38

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Solution

The fourth proportional to 180.86, 270.25 and 174.38 is: 260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.86 : 270.25 = 174.38 : x
  2. Step 2: Convert to fraction form
    180.86/270.25 = 174.38/x
  3. Step 3: Cross multiply
    180.86x = 270.25 × 174.38
  4. Step 4: Simplify right side
    180.86x = 47,124.41
  5. Step 5: Solve for x
    x = 47,124.41/180.86
  6. Step 6: Final answer
    x = 260.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.