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Finding the Fourth Proportional to 141.03, 210.47 and 140.22

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Solution

The fourth proportional to 141.03, 210.47 and 140.22 is: 209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.03 : 210.47 = 140.22 : x
  2. Step 2: Convert to fraction form
    141.03/210.47 = 140.22/x
  3. Step 3: Cross multiply
    141.03x = 210.47 × 140.22
  4. Step 4: Simplify right side
    141.03x = 29,511.40
  5. Step 5: Solve for x
    x = 29,511.40/141.03
  6. Step 6: Final answer
    x = 209.26

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