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Finding the Fourth Proportional to 348.60, 522.92 and 105.16

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Solution

The fourth proportional to 348.60, 522.92 and 105.16 is: 157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.60 : 522.92 = 105.16 : x
  2. Step 2: Convert to fraction form
    348.60/522.92 = 105.16/x
  3. Step 3: Cross multiply
    348.60x = 522.92 × 105.16
  4. Step 4: Simplify right side
    348.60x = 54,990.27
  5. Step 5: Solve for x
    x = 54,990.27/348.60
  6. Step 6: Final answer
    x = 157.75

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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.