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Finding the Fourth Proportional to 296.96, 409.01 and 218.07

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Solution

The fourth proportional to 296.96, 409.01 and 218.07 is: 300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.96 : 409.01 = 218.07 : x
  2. Step 2: Convert to fraction form
    296.96/409.01 = 218.07/x
  3. Step 3: Cross multiply
    296.96x = 409.01 × 218.07
  4. Step 4: Simplify right side
    296.96x = 89,191.72
  5. Step 5: Solve for x
    x = 89,191.72/296.96
  6. Step 6: Final answer
    x = 300.35

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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.