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Finding the Fourth Proportional to 211.18, 315.99 and 180.34

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Solution

The fourth proportional to 211.18, 315.99 and 180.34 is: 269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.18 : 315.99 = 180.34 : x
  2. Step 2: Convert to fraction form
    211.18/315.99 = 180.34/x
  3. Step 3: Cross multiply
    211.18x = 315.99 × 180.34
  4. Step 4: Simplify right side
    211.18x = 56,985.64
  5. Step 5: Solve for x
    x = 56,985.64/211.18
  6. Step 6: Final answer
    x = 269.84

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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.