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Finding the Fourth Proportional to 211.32, 293.19 and 209.46

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Solution

The fourth proportional to 211.32, 293.19 and 209.46 is: 290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.32 : 293.19 = 209.46 : x
  2. Step 2: Convert to fraction form
    211.32/293.19 = 209.46/x
  3. Step 3: Cross multiply
    211.32x = 293.19 × 209.46
  4. Step 4: Simplify right side
    211.32x = 61,411.58
  5. Step 5: Solve for x
    x = 61,411.58/211.32
  6. Step 6: Final answer
    x = 290.61

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