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Finding the Fourth Proportional to 296.86, 447.31 and 243.94

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Solution

The fourth proportional to 296.86, 447.31 and 243.94 is: 367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.86 : 447.31 = 243.94 : x
  2. Step 2: Convert to fraction form
    296.86/447.31 = 243.94/x
  3. Step 3: Cross multiply
    296.86x = 447.31 × 243.94
  4. Step 4: Simplify right side
    296.86x = 109,114.26
  5. Step 5: Solve for x
    x = 109,114.26/296.86
  6. Step 6: Final answer
    x = 367.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.