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Finding the Fourth Proportional to 211.56, 316.16 and 199.86

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Solution

The fourth proportional to 211.56, 316.16 and 199.86 is: 298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.56 : 316.16 = 199.86 : x
  2. Step 2: Convert to fraction form
    211.56/316.16 = 199.86/x
  3. Step 3: Cross multiply
    211.56x = 316.16 × 199.86
  4. Step 4: Simplify right side
    211.56x = 63,186.74
  5. Step 5: Solve for x
    x = 63,186.74/211.56
  6. Step 6: Final answer
    x = 298.67

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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.