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Finding the Fourth Proportional to 285.68, 394.38 and 192.40

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Solution

The fourth proportional to 285.68, 394.38 and 192.40 is: 265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.68 : 394.38 = 192.40 : x
  2. Step 2: Convert to fraction form
    285.68/394.38 = 192.40/x
  3. Step 3: Cross multiply
    285.68x = 394.38 × 192.40
  4. Step 4: Simplify right side
    285.68x = 75,878.71
  5. Step 5: Solve for x
    x = 75,878.71/285.68
  6. Step 6: Final answer
    x = 265.61

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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.