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Finding the Fourth Proportional to 313.36, 431.52 and 214.96

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Solution

The fourth proportional to 313.36, 431.52 and 214.96 is: 296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.36 : 431.52 = 214.96 : x
  2. Step 2: Convert to fraction form
    313.36/431.52 = 214.96/x
  3. Step 3: Cross multiply
    313.36x = 431.52 × 214.96
  4. Step 4: Simplify right side
    313.36x = 92,759.54
  5. Step 5: Solve for x
    x = 92,759.54/313.36
  6. Step 6: Final answer
    x = 296.02

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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.