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Finding the Fourth Proportional to 284.15, 392.05 and 195.66

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Solution

The fourth proportional to 284.15, 392.05 and 195.66 is: 269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.15 : 392.05 = 195.66 : x
  2. Step 2: Convert to fraction form
    284.15/392.05 = 195.66/x
  3. Step 3: Cross multiply
    284.15x = 392.05 × 195.66
  4. Step 4: Simplify right side
    284.15x = 76,707.52
  5. Step 5: Solve for x
    x = 76,707.52/284.15
  6. Step 6: Final answer
    x = 269.95

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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.