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Finding the Fourth Proportional to 348.60, 523.08 and 153.84

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Solution

The fourth proportional to 348.60, 523.08 and 153.84 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.60 : 523.08 = 153.84 : x
  2. Step 2: Convert to fraction form
    348.60/523.08 = 153.84/x
  3. Step 3: Cross multiply
    348.60x = 523.08 × 153.84
  4. Step 4: Simplify right side
    348.60x = 80,470.63
  5. Step 5: Solve for x
    x = 80,470.63/348.60
  6. Step 6: Final answer
    x = 230.84

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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.