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Finding the Fourth Proportional to 211.23, 317.00 and 180.86

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Solution

The fourth proportional to 211.23, 317.00 and 180.86 is: 271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.23 : 317.00 = 180.86 : x
  2. Step 2: Convert to fraction form
    211.23/317.00 = 180.86/x
  3. Step 3: Cross multiply
    211.23x = 317.00 × 180.86
  4. Step 4: Simplify right side
    211.23x = 57,331.49
  5. Step 5: Solve for x
    x = 57,331.49/211.23
  6. Step 6: Final answer
    x = 271.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.