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Finding the Fourth Proportional to 285.92, 394.50 and 192.50

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Solution

The fourth proportional to 285.92, 394.50 and 192.50 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.92 : 394.50 = 192.50 : x
  2. Step 2: Convert to fraction form
    285.92/394.50 = 192.50/x
  3. Step 3: Cross multiply
    285.92x = 394.50 × 192.50
  4. Step 4: Simplify right side
    285.92x = 75,941.25
  5. Step 5: Solve for x
    x = 75,941.25/285.92
  6. Step 6: Final answer
    x = 265.60

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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.