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Finding the Fourth Proportional to 225.28, 337.60 and 191.04

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Solution

The fourth proportional to 225.28, 337.60 and 191.04 is: 286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.28 : 337.60 = 191.04 : x
  2. Step 2: Convert to fraction form
    225.28/337.60 = 191.04/x
  3. Step 3: Cross multiply
    225.28x = 337.60 × 191.04
  4. Step 4: Simplify right side
    225.28x = 64,495.10
  5. Step 5: Solve for x
    x = 64,495.10/225.28
  6. Step 6: Final answer
    x = 286.29

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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.