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Finding the Fourth Proportional to 296.04, 408.60 and 213.12

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Solution

The fourth proportional to 296.04, 408.60 and 213.12 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.04 : 408.60 = 213.12 : x
  2. Step 2: Convert to fraction form
    296.04/408.60 = 213.12/x
  3. Step 3: Cross multiply
    296.04x = 408.60 × 213.12
  4. Step 4: Simplify right side
    296.04x = 87,080.83
  5. Step 5: Solve for x
    x = 87,080.83/296.04
  6. Step 6: Final answer
    x = 294.15

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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.