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Finding the Fourth Proportional to 211.14, 293.29 and 207.83

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Solution

The fourth proportional to 211.14, 293.29 and 207.83 is: 288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.14 : 293.29 = 207.83 : x
  2. Step 2: Convert to fraction form
    211.14/293.29 = 207.83/x
  3. Step 3: Cross multiply
    211.14x = 293.29 × 207.83
  4. Step 4: Simplify right side
    211.14x = 60,954.67
  5. Step 5: Solve for x
    x = 60,954.67/211.14
  6. Step 6: Final answer
    x = 288.69

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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.