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Finding the Fourth Proportional to 214.48, 319.96 and 196.32

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Solution

The fourth proportional to 214.48, 319.96 and 196.32 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 319.96 = 196.32 : x
  2. Step 2: Convert to fraction form
    214.48/319.96 = 196.32/x
  3. Step 3: Cross multiply
    214.48x = 319.96 × 196.32
  4. Step 4: Simplify right side
    214.48x = 62,814.55
  5. Step 5: Solve for x
    x = 62,814.55/214.48
  6. Step 6: Final answer
    x = 292.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.