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Finding the Fourth Proportional to 292.75, 439.75 and 184.61

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Solution

The fourth proportional to 292.75, 439.75 and 184.61 is: 277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.75 : 439.75 = 184.61 : x
  2. Step 2: Convert to fraction form
    292.75/439.75 = 184.61/x
  3. Step 3: Cross multiply
    292.75x = 439.75 × 184.61
  4. Step 4: Simplify right side
    292.75x = 81,182.25
  5. Step 5: Solve for x
    x = 81,182.25/292.75
  6. Step 6: Final answer
    x = 277.31

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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.