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Finding the Fourth Proportional to 232.78, 348.63 and 136.66

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Solution

The fourth proportional to 232.78, 348.63 and 136.66 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 348.63 = 136.66 : x
  2. Step 2: Convert to fraction form
    232.78/348.63 = 136.66/x
  3. Step 3: Cross multiply
    232.78x = 348.63 × 136.66
  4. Step 4: Simplify right side
    232.78x = 47,643.78
  5. Step 5: Solve for x
    x = 47,643.78/232.78
  6. Step 6: Final answer
    x = 204.67

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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.