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Finding the Fourth Proportional to 296.19, 408.58 and 213.50

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Solution

The fourth proportional to 296.19, 408.58 and 213.50 is: 294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.19 : 408.58 = 213.50 : x
  2. Step 2: Convert to fraction form
    296.19/408.58 = 213.50/x
  3. Step 3: Cross multiply
    296.19x = 408.58 × 213.50
  4. Step 4: Simplify right side
    296.19x = 87,232.32
  5. Step 5: Solve for x
    x = 87,232.32/296.19
  6. Step 6: Final answer
    x = 294.51

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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.