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Finding the Fourth Proportional to 292.78, 439.31 and 195.35

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Solution

The fourth proportional to 292.78, 439.31 and 195.35 is: 293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.78 : 439.31 = 195.35 : x
  2. Step 2: Convert to fraction form
    292.78/439.31 = 195.35/x
  3. Step 3: Cross multiply
    292.78x = 439.31 × 195.35
  4. Step 4: Simplify right side
    292.78x = 85,817.50
  5. Step 5: Solve for x
    x = 85,817.50/292.78
  6. Step 6: Final answer
    x = 293.12

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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.