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Finding the Fourth Proportional to 211.90, 293.75 and 200.94

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Solution

The fourth proportional to 211.90, 293.75 and 200.94 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.90 : 293.75 = 200.94 : x
  2. Step 2: Convert to fraction form
    211.90/293.75 = 200.94/x
  3. Step 3: Cross multiply
    211.90x = 293.75 × 200.94
  4. Step 4: Simplify right side
    211.90x = 59,026.13
  5. Step 5: Solve for x
    x = 59,026.13/211.90
  6. Step 6: Final answer
    x = 278.56

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.