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Finding the Fourth Proportional to 296.44, 409.07 and 185.88

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Solution

The fourth proportional to 296.44, 409.07 and 185.88 is: 256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.44 : 409.07 = 185.88 : x
  2. Step 2: Convert to fraction form
    296.44/409.07 = 185.88/x
  3. Step 3: Cross multiply
    296.44x = 409.07 × 185.88
  4. Step 4: Simplify right side
    296.44x = 76,037.93
  5. Step 5: Solve for x
    x = 76,037.93/296.44
  6. Step 6: Final answer
    x = 256.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.