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Finding the Fourth Proportional to 211.68, 290.52 and 194.40

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Solution

The fourth proportional to 211.68, 290.52 and 194.40 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.68 : 290.52 = 194.40 : x
  2. Step 2: Convert to fraction form
    211.68/290.52 = 194.40/x
  3. Step 3: Cross multiply
    211.68x = 290.52 × 194.40
  4. Step 4: Simplify right side
    211.68x = 56,477.09
  5. Step 5: Solve for x
    x = 56,477.09/211.68
  6. Step 6: Final answer
    x = 266.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.