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Finding the Fourth Proportional to 348.73, 522.97 and 117.57

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Solution

The fourth proportional to 348.73, 522.97 and 117.57 is: 176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.73 : 522.97 = 117.57 : x
  2. Step 2: Convert to fraction form
    348.73/522.97 = 117.57/x
  3. Step 3: Cross multiply
    348.73x = 522.97 × 117.57
  4. Step 4: Simplify right side
    348.73x = 61,485.29
  5. Step 5: Solve for x
    x = 61,485.29/348.73
  6. Step 6: Final answer
    x = 176.31

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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.