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Finding the Fourth Proportional to 349.10, 522.97 and 186.56

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Solution

The fourth proportional to 349.10, 522.97 and 186.56 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.10 : 522.97 = 186.56 : x
  2. Step 2: Convert to fraction form
    349.10/522.97 = 186.56/x
  3. Step 3: Cross multiply
    349.10x = 522.97 × 186.56
  4. Step 4: Simplify right side
    349.10x = 97,562.20
  5. Step 5: Solve for x
    x = 97,562.20/349.10
  6. Step 6: Final answer
    x = 279.47

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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.