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Finding the Fourth Proportional to 211.37, 315.05 and 194.62

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Solution

The fourth proportional to 211.37, 315.05 and 194.62 is: 290.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.37 : 315.05 = 194.62 : x
  2. Step 2: Convert to fraction form
    211.37/315.05 = 194.62/x
  3. Step 3: Cross multiply
    211.37x = 315.05 × 194.62
  4. Step 4: Simplify right side
    211.37x = 61,313.27
  5. Step 5: Solve for x
    x = 61,313.27/211.37
  6. Step 6: Final answer
    x = 290.08

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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.