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Finding the Fourth Proportional to 348.46, 522.89 and 129.06

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Solution

The fourth proportional to 348.46, 522.89 and 129.06 is: 193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.46 : 522.89 = 129.06 : x
  2. Step 2: Convert to fraction form
    348.46/522.89 = 129.06/x
  3. Step 3: Cross multiply
    348.46x = 522.89 × 129.06
  4. Step 4: Simplify right side
    348.46x = 67,484.18
  5. Step 5: Solve for x
    x = 67,484.18/348.46
  6. Step 6: Final answer
    x = 193.66

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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.