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Finding the Fourth Proportional to 292.74, 439.10 and 110.22

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Solution

The fourth proportional to 292.74, 439.10 and 110.22 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 439.10 = 110.22 : x
  2. Step 2: Convert to fraction form
    292.74/439.10 = 110.22/x
  3. Step 3: Cross multiply
    292.74x = 439.10 × 110.22
  4. Step 4: Simplify right side
    292.74x = 48,397.60
  5. Step 5: Solve for x
    x = 48,397.60/292.74
  6. Step 6: Final answer
    x = 165.33

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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.