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Finding the Fourth Proportional to 348.49, 522.73 and 117.33

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Solution

The fourth proportional to 348.49, 522.73 and 117.33 is: 175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.49 : 522.73 = 117.33 : x
  2. Step 2: Convert to fraction form
    348.49/522.73 = 117.33/x
  3. Step 3: Cross multiply
    348.49x = 522.73 × 117.33
  4. Step 4: Simplify right side
    348.49x = 61,331.91
  5. Step 5: Solve for x
    x = 61,331.91/348.49
  6. Step 6: Final answer
    x = 175.99

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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.