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Finding the Fourth Proportional to 296.06, 408.50 and 183.99

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Solution

The fourth proportional to 296.06, 408.50 and 183.99 is: 253.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 408.50 = 183.99 : x
  2. Step 2: Convert to fraction form
    296.06/408.50 = 183.99/x
  3. Step 3: Cross multiply
    296.06x = 408.50 × 183.99
  4. Step 4: Simplify right side
    296.06x = 75,159.92
  5. Step 5: Solve for x
    x = 75,159.92/296.06
  6. Step 6: Final answer
    x = 253.87

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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.