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Finding the Fourth Proportional to 211.86, 316.26 and 180.88

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Solution

The fourth proportional to 211.86, 316.26 and 180.88 is: 270.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.86 : 316.26 = 180.88 : x
  2. Step 2: Convert to fraction form
    211.86/316.26 = 180.88/x
  3. Step 3: Cross multiply
    211.86x = 316.26 × 180.88
  4. Step 4: Simplify right side
    211.86x = 57,204.32
  5. Step 5: Solve for x
    x = 57,204.32/211.86
  6. Step 6: Final answer
    x = 270.01

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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.