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Finding the Fourth Proportional to 211.86, 291.52 and 205.53

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Solution

The fourth proportional to 211.86, 291.52 and 205.53 is: 282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 291.52 = 205.53 : x
  2. Step 2: Convert to fraction form
    211.86/291.52 = 205.53/x
  3. Step 3: Cross multiply
    211.86x = 291.52 × 205.53
  4. Step 4: Simplify right side
    211.86x = 59,916.11
  5. Step 5: Solve for x
    x = 59,916.11/211.86
  6. Step 6: Final answer
    x = 282.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.