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Finding the Fourth Proportional to 227.86, 341.52 and 174.04

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Solution

The fourth proportional to 227.86, 341.52 and 174.04 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.86 : 341.52 = 174.04 : x
  2. Step 2: Convert to fraction form
    227.86/341.52 = 174.04/x
  3. Step 3: Cross multiply
    227.86x = 341.52 × 174.04
  4. Step 4: Simplify right side
    227.86x = 59,438.14
  5. Step 5: Solve for x
    x = 59,438.14/227.86
  6. Step 6: Final answer
    x = 260.85

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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.