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Finding the Fourth Proportional to 211.19, 316.28 and 167.55

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Solution

The fourth proportional to 211.19, 316.28 and 167.55 is: 250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 316.28 = 167.55 : x
  2. Step 2: Convert to fraction form
    211.19/316.28 = 167.55/x
  3. Step 3: Cross multiply
    211.19x = 316.28 × 167.55
  4. Step 4: Simplify right side
    211.19x = 52,993.25
  5. Step 5: Solve for x
    x = 52,993.25/211.19
  6. Step 6: Final answer
    x = 250.93

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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.