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Finding the Fourth Proportional to 253.18, 377.96 and 225.84

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Solution

The fourth proportional to 253.18, 377.96 and 225.84 is: 337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 377.96 = 225.84 : x
  2. Step 2: Convert to fraction form
    253.18/377.96 = 225.84/x
  3. Step 3: Cross multiply
    253.18x = 377.96 × 225.84
  4. Step 4: Simplify right side
    253.18x = 85,358.49
  5. Step 5: Solve for x
    x = 85,358.49/253.18
  6. Step 6: Final answer
    x = 337.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.