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Finding the Fourth Proportional to 296.92, 445.22 and 142.84

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Solution

The fourth proportional to 296.92, 445.22 and 142.84 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.92 : 445.22 = 142.84 : x
  2. Step 2: Convert to fraction form
    296.92/445.22 = 142.84/x
  3. Step 3: Cross multiply
    296.92x = 445.22 × 142.84
  4. Step 4: Simplify right side
    296.92x = 63,594.75
  5. Step 5: Solve for x
    x = 63,594.75/296.92
  6. Step 6: Final answer
    x = 214.18

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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.