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Finding the Fourth Proportional to 296.92, 444.30 and 188.92

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Solution

The fourth proportional to 296.92, 444.30 and 188.92 is: 282.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.92 : 444.30 = 188.92 : x
  2. Step 2: Convert to fraction form
    296.92/444.30 = 188.92/x
  3. Step 3: Cross multiply
    296.92x = 444.30 × 188.92
  4. Step 4: Simplify right side
    296.92x = 83,937.16
  5. Step 5: Solve for x
    x = 83,937.16/296.92
  6. Step 6: Final answer
    x = 282.69

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