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Finding the Fourth Proportional to 296.31, 444.34 and 185.13

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Solution

The fourth proportional to 296.31, 444.34 and 185.13 is: 277.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.31 : 444.34 = 185.13 : x
  2. Step 2: Convert to fraction form
    296.31/444.34 = 185.13/x
  3. Step 3: Cross multiply
    296.31x = 444.34 × 185.13
  4. Step 4: Simplify right side
    296.31x = 82,260.66
  5. Step 5: Solve for x
    x = 82,260.66/296.31
  6. Step 6: Final answer
    x = 277.62

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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.