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Finding the Fourth Proportional to 225.39, 337.94 and 144.29

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Solution

The fourth proportional to 225.39, 337.94 and 144.29 is: 216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.39 : 337.94 = 144.29 : x
  2. Step 2: Convert to fraction form
    225.39/337.94 = 144.29/x
  3. Step 3: Cross multiply
    225.39x = 337.94 × 144.29
  4. Step 4: Simplify right side
    225.39x = 48,762.03
  5. Step 5: Solve for x
    x = 48,762.03/225.39
  6. Step 6: Final answer
    x = 216.34

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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.