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Finding the Fourth Proportional to 610, 915 and 225.25

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Solution

The fourth proportional to 610, 915 and 225.25 is: 337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    610 : 915 = 225.25 : x
  2. Step 2: Convert to fraction form
    610/915 = 225.25/x
  3. Step 3: Cross multiply
    610x = 915 × 225.25
  4. Step 4: Simplify right side
    610x = 206,103.75
  5. Step 5: Solve for x
    x = 206,103.75/610
  6. Step 6: Final answer
    x = 337.88

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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.