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Finding the Fourth Proportional to 284.08, 392.16 and 218.56

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Solution

The fourth proportional to 284.08, 392.16 and 218.56 is: 301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.08 : 392.16 = 218.56 : x
  2. Step 2: Convert to fraction form
    284.08/392.16 = 218.56/x
  3. Step 3: Cross multiply
    284.08x = 392.16 × 218.56
  4. Step 4: Simplify right side
    284.08x = 85,710.49
  5. Step 5: Solve for x
    x = 85,710.49/284.08
  6. Step 6: Final answer
    x = 301.71

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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.