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Finding the Fourth Proportional to 283.46, 424.20 and 225.18

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Solution

The fourth proportional to 283.46, 424.20 and 225.18 is: 336.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.46 : 424.20 = 225.18 : x
  2. Step 2: Convert to fraction form
    283.46/424.20 = 225.18/x
  3. Step 3: Cross multiply
    283.46x = 424.20 × 225.18
  4. Step 4: Simplify right side
    283.46x = 95,521.36
  5. Step 5: Solve for x
    x = 95,521.36/283.46
  6. Step 6: Final answer
    x = 336.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.