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Finding the Fourth Proportional to 296.15, 408.33 and 230.54

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Solution

The fourth proportional to 296.15, 408.33 and 230.54 is: 317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.15 : 408.33 = 230.54 : x
  2. Step 2: Convert to fraction form
    296.15/408.33 = 230.54/x
  3. Step 3: Cross multiply
    296.15x = 408.33 × 230.54
  4. Step 4: Simplify right side
    296.15x = 94,136.40
  5. Step 5: Solve for x
    x = 94,136.40/296.15
  6. Step 6: Final answer
    x = 317.87

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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.