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Finding the Fourth Proportional to 348.69, 523.32 and 153.83

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Solution

The fourth proportional to 348.69, 523.32 and 153.83 is: 230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.69 : 523.32 = 153.83 : x
  2. Step 2: Convert to fraction form
    348.69/523.32 = 153.83/x
  3. Step 3: Cross multiply
    348.69x = 523.32 × 153.83
  4. Step 4: Simplify right side
    348.69x = 80,502.32
  5. Step 5: Solve for x
    x = 80,502.32/348.69
  6. Step 6: Final answer
    x = 230.87

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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.