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Finding the Fourth Proportional to 348.48, 522.72 and 105.07

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Solution

The fourth proportional to 348.48, 522.72 and 105.07 is: 157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.48 : 522.72 = 105.07 : x
  2. Step 2: Convert to fraction form
    348.48/522.72 = 105.07/x
  3. Step 3: Cross multiply
    348.48x = 522.72 × 105.07
  4. Step 4: Simplify right side
    348.48x = 54,922.19
  5. Step 5: Solve for x
    x = 54,922.19/348.48
  6. Step 6: Final answer
    x = 157.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.