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Finding the Fourth Proportional to 348.13, 522.21 and 91.63

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Solution

The fourth proportional to 348.13, 522.21 and 91.63 is: 137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.13 : 522.21 = 91.63 : x
  2. Step 2: Convert to fraction form
    348.13/522.21 = 91.63/x
  3. Step 3: Cross multiply
    348.13x = 522.21 × 91.63
  4. Step 4: Simplify right side
    348.13x = 47,850.10
  5. Step 5: Solve for x
    x = 47,850.10/348.13
  6. Step 6: Final answer
    x = 137.45

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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.