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Finding the Fourth Proportional to 296.22, 409.02 and 203.07

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Solution

The fourth proportional to 296.22, 409.02 and 203.07 is: 280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.22 : 409.02 = 203.07 : x
  2. Step 2: Convert to fraction form
    296.22/409.02 = 203.07/x
  3. Step 3: Cross multiply
    296.22x = 409.02 × 203.07
  4. Step 4: Simplify right side
    296.22x = 83,059.69
  5. Step 5: Solve for x
    x = 83,059.69/296.22
  6. Step 6: Final answer
    x = 280.40

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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.