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Finding the Fourth Proportional to 348.54, 522.38 and 142.98

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Solution

The fourth proportional to 348.54, 522.38 and 142.98 is: 214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.54 : 522.38 = 142.98 : x
  2. Step 2: Convert to fraction form
    348.54/522.38 = 142.98/x
  3. Step 3: Cross multiply
    348.54x = 522.38 × 142.98
  4. Step 4: Simplify right side
    348.54x = 74,689.89
  5. Step 5: Solve for x
    x = 74,689.89/348.54
  6. Step 6: Final answer
    x = 214.29

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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.