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Finding the Fourth Proportional to 347.91, 522.14 and 226.14

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Solution

The fourth proportional to 347.91, 522.14 and 226.14 is: 339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.91 : 522.14 = 226.14 : x
  2. Step 2: Convert to fraction form
    347.91/522.14 = 226.14/x
  3. Step 3: Cross multiply
    347.91x = 522.14 × 226.14
  4. Step 4: Simplify right side
    347.91x = 118,075.61
  5. Step 5: Solve for x
    x = 118,075.61/347.91
  6. Step 6: Final answer
    x = 339.39

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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.