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Finding the Fourth Proportional to 284.25, 392.45 and 221.99

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Solution

The fourth proportional to 284.25, 392.45 and 221.99 is: 306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.25 : 392.45 = 221.99 : x
  2. Step 2: Convert to fraction form
    284.25/392.45 = 221.99/x
  3. Step 3: Cross multiply
    284.25x = 392.45 × 221.99
  4. Step 4: Simplify right side
    284.25x = 87,116.90
  5. Step 5: Solve for x
    x = 87,116.90/284.25
  6. Step 6: Final answer
    x = 306.48

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