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Finding the Fourth Proportional to 348.54, 522.89 and 105.09

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Solution

The fourth proportional to 348.54, 522.89 and 105.09 is: 157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 522.89 = 105.09 : x
  2. Step 2: Convert to fraction form
    348.54/522.89 = 105.09/x
  3. Step 3: Cross multiply
    348.54x = 522.89 × 105.09
  4. Step 4: Simplify right side
    348.54x = 54,950.51
  5. Step 5: Solve for x
    x = 54,950.51/348.54
  6. Step 6: Final answer
    x = 157.66

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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.