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Finding the Fourth Proportional to 348.51, 522.78 and 105.06

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Solution

The fourth proportional to 348.51, 522.78 and 105.06 is: 157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.51 : 522.78 = 105.06 : x
  2. Step 2: Convert to fraction form
    348.51/522.78 = 105.06/x
  3. Step 3: Cross multiply
    348.51x = 522.78 × 105.06
  4. Step 4: Simplify right side
    348.51x = 54,923.27
  5. Step 5: Solve for x
    x = 54,923.27/348.51
  6. Step 6: Final answer
    x = 157.59

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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.