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Finding the Fourth Proportional to 348.88, 522.84 and 166.16

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Solution

The fourth proportional to 348.88, 522.84 and 166.16 is: 249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.88 : 522.84 = 166.16 : x
  2. Step 2: Convert to fraction form
    348.88/522.84 = 166.16/x
  3. Step 3: Cross multiply
    348.88x = 522.84 × 166.16
  4. Step 4: Simplify right side
    348.88x = 86,875.09
  5. Step 5: Solve for x
    x = 86,875.09/348.88
  6. Step 6: Final answer
    x = 249.01

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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.