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Finding the Fourth Proportional to 284.09, 392.19 and 205.62

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Solution

The fourth proportional to 284.09, 392.19 and 205.62 is: 283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.09 : 392.19 = 205.62 : x
  2. Step 2: Convert to fraction form
    284.09/392.19 = 205.62/x
  3. Step 3: Cross multiply
    284.09x = 392.19 × 205.62
  4. Step 4: Simplify right side
    284.09x = 80,642.11
  5. Step 5: Solve for x
    x = 80,642.11/284.09
  6. Step 6: Final answer
    x = 283.87

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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.