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Finding the Fourth Proportional to 296.22, 408.64 and 203.06

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Solution

The fourth proportional to 296.22, 408.64 and 203.06 is: 280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.22 : 408.64 = 203.06 : x
  2. Step 2: Convert to fraction form
    296.22/408.64 = 203.06/x
  3. Step 3: Cross multiply
    296.22x = 408.64 × 203.06
  4. Step 4: Simplify right side
    296.22x = 82,975.89
  5. Step 5: Solve for x
    x = 82,975.89/296.22
  6. Step 6: Final answer
    x = 280.12

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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.