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Finding the Fourth Proportional to 141.82, 211.15 and 139.80

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Solution

The fourth proportional to 141.82, 211.15 and 139.80 is: 208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.82 : 211.15 = 139.80 : x
  2. Step 2: Convert to fraction form
    141.82/211.15 = 139.80/x
  3. Step 3: Cross multiply
    141.82x = 211.15 × 139.80
  4. Step 4: Simplify right side
    141.82x = 29,518.77
  5. Step 5: Solve for x
    x = 29,518.77/141.82
  6. Step 6: Final answer
    x = 208.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.