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Finding the Fourth Proportional to 211.11, 315.14 and 180.12

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Solution

The fourth proportional to 211.11, 315.14 and 180.12 is: 268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.11 : 315.14 = 180.12 : x
  2. Step 2: Convert to fraction form
    211.11/315.14 = 180.12/x
  3. Step 3: Cross multiply
    211.11x = 315.14 × 180.12
  4. Step 4: Simplify right side
    211.11x = 56,764.31
  5. Step 5: Solve for x
    x = 56,764.31/211.11
  6. Step 6: Final answer
    x = 268.89

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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.