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Finding the Fourth Proportional to 143.84, 215.76 and 140.89

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Solution

The fourth proportional to 143.84, 215.76 and 140.89 is: 211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 215.76 = 140.89 : x
  2. Step 2: Convert to fraction form
    143.84/215.76 = 140.89/x
  3. Step 3: Cross multiply
    143.84x = 215.76 × 140.89
  4. Step 4: Simplify right side
    143.84x = 30,398.82
  5. Step 5: Solve for x
    x = 30,398.82/143.84
  6. Step 6: Final answer
    x = 211.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.