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Finding the Fourth Proportional to 210.20, 290.03 and 143.84

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Solution

The fourth proportional to 210.20, 290.03 and 143.84 is: 198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.20 : 290.03 = 143.84 : x
  2. Step 2: Convert to fraction form
    210.20/290.03 = 143.84/x
  3. Step 3: Cross multiply
    210.20x = 290.03 × 143.84
  4. Step 4: Simplify right side
    210.20x = 41,717.92
  5. Step 5: Solve for x
    x = 41,717.92/210.20
  6. Step 6: Final answer
    x = 198.47

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