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Finding the Fourth Proportional to 210.66, 290.81 and 140.83

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Solution

The fourth proportional to 210.66, 290.81 and 140.83 is: 194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.66 : 290.81 = 140.83 : x
  2. Step 2: Convert to fraction form
    210.66/290.81 = 140.83/x
  3. Step 3: Cross multiply
    210.66x = 290.81 × 140.83
  4. Step 4: Simplify right side
    210.66x = 40,954.77
  5. Step 5: Solve for x
    x = 40,954.77/210.66
  6. Step 6: Final answer
    x = 194.41

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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.