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Finding the Fourth Proportional to 284.64, 392.16 and 226.24

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Solution

The fourth proportional to 284.64, 392.16 and 226.24 is: 311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 392.16 = 226.24 : x
  2. Step 2: Convert to fraction form
    284.64/392.16 = 226.24/x
  3. Step 3: Cross multiply
    284.64x = 392.16 × 226.24
  4. Step 4: Simplify right side
    284.64x = 88,722.28
  5. Step 5: Solve for x
    x = 88,722.28/284.64
  6. Step 6: Final answer
    x = 311.70

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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.