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Finding the Fourth Proportional to 210.93, 291.18 and 141.09

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Solution

The fourth proportional to 210.93, 291.18 and 141.09 is: 194.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 291.18 = 141.09 : x
  2. Step 2: Convert to fraction form
    210.93/291.18 = 141.09/x
  3. Step 3: Cross multiply
    210.93x = 291.18 × 141.09
  4. Step 4: Simplify right side
    210.93x = 41,082.59
  5. Step 5: Solve for x
    x = 41,082.59/210.93
  6. Step 6: Final answer
    x = 194.77

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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.