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Finding the Fourth Proportional to 284.68, 392.92 and 214.96

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Solution

The fourth proportional to 284.68, 392.92 and 214.96 is: 296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.68 : 392.92 = 214.96 : x
  2. Step 2: Convert to fraction form
    284.68/392.92 = 214.96/x
  3. Step 3: Cross multiply
    284.68x = 392.92 × 214.96
  4. Step 4: Simplify right side
    284.68x = 84,462.08
  5. Step 5: Solve for x
    x = 84,462.08/284.68
  6. Step 6: Final answer
    x = 296.69

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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.