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Finding the Fourth Proportional to 253.53, 380.90 and 218.30

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Solution

The fourth proportional to 253.53, 380.90 and 218.30 is: 327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.53 : 380.90 = 218.30 : x
  2. Step 2: Convert to fraction form
    253.53/380.90 = 218.30/x
  3. Step 3: Cross multiply
    253.53x = 380.90 × 218.30
  4. Step 4: Simplify right side
    253.53x = 83,149.11
  5. Step 5: Solve for x
    x = 83,149.11/253.53
  6. Step 6: Final answer
    x = 327.97

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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.