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Finding the Fourth Proportional to 253.50, 348.96 and 225.81

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Solution

The fourth proportional to 253.50, 348.96 and 225.81 is: 310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.50 : 348.96 = 225.81 : x
  2. Step 2: Convert to fraction form
    253.50/348.96 = 225.81/x
  3. Step 3: Cross multiply
    253.50x = 348.96 × 225.81
  4. Step 4: Simplify right side
    253.50x = 78,798.66
  5. Step 5: Solve for x
    x = 78,798.66/253.50
  6. Step 6: Final answer
    x = 310.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.