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Finding the Fourth Proportional to 211.06, 290.98 and 141.13

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Solution

The fourth proportional to 211.06, 290.98 and 141.13 is: 194.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 290.98 = 141.13 : x
  2. Step 2: Convert to fraction form
    211.06/290.98 = 141.13/x
  3. Step 3: Cross multiply
    211.06x = 290.98 × 141.13
  4. Step 4: Simplify right side
    211.06x = 41,066.01
  5. Step 5: Solve for x
    x = 41,066.01/211.06
  6. Step 6: Final answer
    x = 194.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.