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Finding the Fourth Proportional to 296.06, 444.23 and 122.78

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Solution

The fourth proportional to 296.06, 444.23 and 122.78 is: 184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 444.23 = 122.78 : x
  2. Step 2: Convert to fraction form
    296.06/444.23 = 122.78/x
  3. Step 3: Cross multiply
    296.06x = 444.23 × 122.78
  4. Step 4: Simplify right side
    296.06x = 54,539.72
  5. Step 5: Solve for x
    x = 54,539.72/296.06
  6. Step 6: Final answer
    x = 184.22

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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.