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Finding the Fourth Proportional to 211, 314.61 and 198.76

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Solution

The fourth proportional to 211, 314.61 and 198.76 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211 : 314.61 = 198.76 : x
  2. Step 2: Convert to fraction form
    211/314.61 = 198.76/x
  3. Step 3: Cross multiply
    211x = 314.61 × 198.76
  4. Step 4: Simplify right side
    211x = 62,531.88
  5. Step 5: Solve for x
    x = 62,531.88/211
  6. Step 6: Final answer
    x = 296.36

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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.