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Finding the Fourth Proportional to 283.40, 424.80 and 218.18

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Solution

The fourth proportional to 283.40, 424.80 and 218.18 is: 327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.40 : 424.80 = 218.18 : x
  2. Step 2: Convert to fraction form
    283.40/424.80 = 218.18/x
  3. Step 3: Cross multiply
    283.40x = 424.80 × 218.18
  4. Step 4: Simplify right side
    283.40x = 92,682.86
  5. Step 5: Solve for x
    x = 92,682.86/283.40
  6. Step 6: Final answer
    x = 327.04

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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.