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Finding the Fourth Proportional to 292.75, 439.05 and 110.09

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Solution

The fourth proportional to 292.75, 439.05 and 110.09 is: 165.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 439.05 = 110.09 : x
  2. Step 2: Convert to fraction form
    292.75/439.05 = 110.09/x
  3. Step 3: Cross multiply
    292.75x = 439.05 × 110.09
  4. Step 4: Simplify right side
    292.75x = 48,336.52
  5. Step 5: Solve for x
    x = 48,336.52/292.75
  6. Step 6: Final answer
    x = 165.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.