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Finding the Fourth Proportional to 295.98, 444.27 and 122.75

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Solution

The fourth proportional to 295.98, 444.27 and 122.75 is: 184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.98 : 444.27 = 122.75 : x
  2. Step 2: Convert to fraction form
    295.98/444.27 = 122.75/x
  3. Step 3: Cross multiply
    295.98x = 444.27 × 122.75
  4. Step 4: Simplify right side
    295.98x = 54,534.14
  5. Step 5: Solve for x
    x = 54,534.14/295.98
  6. Step 6: Final answer
    x = 184.25

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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.