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Finding the Fourth Proportional to 284.50, 392.25 and 226.18

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Solution

The fourth proportional to 284.50, 392.25 and 226.18 is: 311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.50 : 392.25 = 226.18 : x
  2. Step 2: Convert to fraction form
    284.50/392.25 = 226.18/x
  3. Step 3: Cross multiply
    284.50x = 392.25 × 226.18
  4. Step 4: Simplify right side
    284.50x = 88,719.11
  5. Step 5: Solve for x
    x = 88,719.11/284.50
  6. Step 6: Final answer
    x = 311.84

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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.