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Finding the Fourth Proportional to 292.97, 439.46 and 110.15

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Solution

The fourth proportional to 292.97, 439.46 and 110.15 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.97 : 439.46 = 110.15 : x
  2. Step 2: Convert to fraction form
    292.97/439.46 = 110.15/x
  3. Step 3: Cross multiply
    292.97x = 439.46 × 110.15
  4. Step 4: Simplify right side
    292.97x = 48,403.77
  5. Step 5: Solve for x
    x = 48,403.77/292.97
  6. Step 6: Final answer
    x = 165.22

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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.