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Finding the Fourth Proportional to 178.89, 268.33 and 140.40

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Solution

The fourth proportional to 178.89, 268.33 and 140.40 is: 210.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.89 : 268.33 = 140.40 : x
  2. Step 2: Convert to fraction form
    178.89/268.33 = 140.40/x
  3. Step 3: Cross multiply
    178.89x = 268.33 × 140.40
  4. Step 4: Simplify right side
    178.89x = 37,672.83
  5. Step 5: Solve for x
    x = 37,672.83/178.89
  6. Step 6: Final answer
    x = 210.59

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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.