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Finding the Fourth Proportional to 225.63, 337.98 and 174.09

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Solution

The fourth proportional to 225.63, 337.98 and 174.09 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.63 : 337.98 = 174.09 : x
  2. Step 2: Convert to fraction form
    225.63/337.98 = 174.09/x
  3. Step 3: Cross multiply
    225.63x = 337.98 × 174.09
  4. Step 4: Simplify right side
    225.63x = 58,838.94
  5. Step 5: Solve for x
    x = 58,838.94/225.63
  6. Step 6: Final answer
    x = 260.78

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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.