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Finding the Fourth Proportional to 348.49, 522.74 and 105.01

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Solution

The fourth proportional to 348.49, 522.74 and 105.01 is: 157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.49 : 522.74 = 105.01 : x
  2. Step 2: Convert to fraction form
    348.49/522.74 = 105.01/x
  3. Step 3: Cross multiply
    348.49x = 522.74 × 105.01
  4. Step 4: Simplify right side
    348.49x = 54,892.93
  5. Step 5: Solve for x
    x = 54,892.93/348.49
  6. Step 6: Final answer
    x = 157.52

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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.