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Finding the Fourth Proportional to 348.24, 522.25 and 98.07

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Solution

The fourth proportional to 348.24, 522.25 and 98.07 is: 147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.24 : 522.25 = 98.07 : x
  2. Step 2: Convert to fraction form
    348.24/522.25 = 98.07/x
  3. Step 3: Cross multiply
    348.24x = 522.25 × 98.07
  4. Step 4: Simplify right side
    348.24x = 51,217.06
  5. Step 5: Solve for x
    x = 51,217.06/348.24
  6. Step 6: Final answer
    x = 147.07

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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.