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Finding the Fourth Proportional to 295.89, 444.30 and 159.20

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Solution

The fourth proportional to 295.89, 444.30 and 159.20 is: 239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.89 : 444.30 = 159.20 : x
  2. Step 2: Convert to fraction form
    295.89/444.30 = 159.20/x
  3. Step 3: Cross multiply
    295.89x = 444.30 × 159.20
  4. Step 4: Simplify right side
    295.89x = 70,731.41
  5. Step 5: Solve for x
    x = 70,731.41/295.89
  6. Step 6: Final answer
    x = 239.05

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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.