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Finding the Fourth Proportional to 283.50, 391.14 and 172.92

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Solution

The fourth proportional to 283.50, 391.14 and 172.92 is: 238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.50 : 391.14 = 172.92 : x
  2. Step 2: Convert to fraction form
    283.50/391.14 = 172.92/x
  3. Step 3: Cross multiply
    283.50x = 391.14 × 172.92
  4. Step 4: Simplify right side
    283.50x = 67,635.93
  5. Step 5: Solve for x
    x = 67,635.93/283.50
  6. Step 6: Final answer
    x = 238.57

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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.