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Finding the Fourth Proportional to 354.92, 532.14 and 192.68

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Solution

The fourth proportional to 354.92, 532.14 and 192.68 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.92 : 532.14 = 192.68 : x
  2. Step 2: Convert to fraction form
    354.92/532.14 = 192.68/x
  3. Step 3: Cross multiply
    354.92x = 532.14 × 192.68
  4. Step 4: Simplify right side
    354.92x = 102,532.74
  5. Step 5: Solve for x
    x = 102,532.74/354.92
  6. Step 6: Final answer
    x = 288.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.