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Finding the Fourth Proportional to 285.80, 394.33 and 192.71

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Solution

The fourth proportional to 285.80, 394.33 and 192.71 is: 265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.80 : 394.33 = 192.71 : x
  2. Step 2: Convert to fraction form
    285.80/394.33 = 192.71/x
  3. Step 3: Cross multiply
    285.80x = 394.33 × 192.71
  4. Step 4: Simplify right side
    285.80x = 75,990.37
  5. Step 5: Solve for x
    x = 75,990.37/285.80
  6. Step 6: Final answer
    x = 265.89

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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.