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Finding the Fourth Proportional to 284.68, 393.12 and 218.44

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Solution

The fourth proportional to 284.68, 393.12 and 218.44 is: 301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 393.12 = 218.44 : x
  2. Step 2: Convert to fraction form
    284.68/393.12 = 218.44/x
  3. Step 3: Cross multiply
    284.68x = 393.12 × 218.44
  4. Step 4: Simplify right side
    284.68x = 85,873.13
  5. Step 5: Solve for x
    x = 85,873.13/284.68
  6. Step 6: Final answer
    x = 301.65

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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.