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Finding the Fourth Proportional to 295.96, 444 and 173.92

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Solution

The fourth proportional to 295.96, 444 and 173.92 is: 260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.96 : 444 = 173.92 : x
  2. Step 2: Convert to fraction form
    295.96/444 = 173.92/x
  3. Step 3: Cross multiply
    295.96x = 444 × 173.92
  4. Step 4: Simplify right side
    295.96x = 77,220.48
  5. Step 5: Solve for x
    x = 77,220.48/295.96
  6. Step 6: Final answer
    x = 260.92

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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.