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Finding the Fourth Proportional to 211.88, 316.19 and 188.87

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Solution

The fourth proportional to 211.88, 316.19 and 188.87 is: 281.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.88 : 316.19 = 188.87 : x
  2. Step 2: Convert to fraction form
    211.88/316.19 = 188.87/x
  3. Step 3: Cross multiply
    211.88x = 316.19 × 188.87
  4. Step 4: Simplify right side
    211.88x = 59,719.30
  5. Step 5: Solve for x
    x = 59,719.30/211.88
  6. Step 6: Final answer
    x = 281.85

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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.