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Finding the Fourth Proportional to 211.96, 318.47 and 134.96

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Solution

The fourth proportional to 211.96, 318.47 and 134.96 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.96 : 318.47 = 134.96 : x
  2. Step 2: Convert to fraction form
    211.96/318.47 = 134.96/x
  3. Step 3: Cross multiply
    211.96x = 318.47 × 134.96
  4. Step 4: Simplify right side
    211.96x = 42,980.71
  5. Step 5: Solve for x
    x = 42,980.71/211.96
  6. Step 6: Final answer
    x = 202.78

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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.