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Finding the Fourth Proportional to 214.61, 320.02 and 197.78

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Solution

The fourth proportional to 214.61, 320.02 and 197.78 is: 294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.61 : 320.02 = 197.78 : x
  2. Step 2: Convert to fraction form
    214.61/320.02 = 197.78/x
  3. Step 3: Cross multiply
    214.61x = 320.02 × 197.78
  4. Step 4: Simplify right side
    214.61x = 63,290.97
  5. Step 5: Solve for x
    x = 63,290.97/214.61
  6. Step 6: Final answer
    x = 294.92

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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.