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Finding the Fourth Proportional to 211.80, 317.77 and 194.94

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Solution

The fourth proportional to 211.80, 317.77 and 194.94 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.80 : 317.77 = 194.94 : x
  2. Step 2: Convert to fraction form
    211.80/317.77 = 194.94/x
  3. Step 3: Cross multiply
    211.80x = 317.77 × 194.94
  4. Step 4: Simplify right side
    211.80x = 61,946.08
  5. Step 5: Solve for x
    x = 61,946.08/211.80
  6. Step 6: Final answer
    x = 292.47

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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.