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Finding the Fourth Proportional to 253.19, 378.68 and 225.96

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Solution

The fourth proportional to 253.19, 378.68 and 225.96 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.19 : 378.68 = 225.96 : x
  2. Step 2: Convert to fraction form
    253.19/378.68 = 225.96/x
  3. Step 3: Cross multiply
    253.19x = 378.68 × 225.96
  4. Step 4: Simplify right side
    253.19x = 85,565.40
  5. Step 5: Solve for x
    x = 85,565.40/253.19
  6. Step 6: Final answer
    x = 337.96

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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.