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Finding the Fourth Proportional to 296.43, 444.58 and 122.92

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Solution

The fourth proportional to 296.43, 444.58 and 122.92 is: 184.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.43 : 444.58 = 122.92 : x
  2. Step 2: Convert to fraction form
    296.43/444.58 = 122.92/x
  3. Step 3: Cross multiply
    296.43x = 444.58 × 122.92
  4. Step 4: Simplify right side
    296.43x = 54,647.77
  5. Step 5: Solve for x
    x = 54,647.77/296.43
  6. Step 6: Final answer
    x = 184.35

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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.