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Finding the Fourth Proportional to 293.29, 439.95 and 110.80

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Solution

The fourth proportional to 293.29, 439.95 and 110.80 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 439.95 = 110.80 : x
  2. Step 2: Convert to fraction form
    293.29/439.95 = 110.80/x
  3. Step 3: Cross multiply
    293.29x = 439.95 × 110.80
  4. Step 4: Simplify right side
    293.29x = 48,746.46
  5. Step 5: Solve for x
    x = 48,746.46/293.29
  6. Step 6: Final answer
    x = 166.21

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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.