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Finding the Fourth Proportional to 347.88, 522.06 and 185.68

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Solution

The fourth proportional to 347.88, 522.06 and 185.68 is: 278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.88 : 522.06 = 185.68 : x
  2. Step 2: Convert to fraction form
    347.88/522.06 = 185.68/x
  3. Step 3: Cross multiply
    347.88x = 522.06 × 185.68
  4. Step 4: Simplify right side
    347.88x = 96,936.10
  5. Step 5: Solve for x
    x = 96,936.10/347.88
  6. Step 6: Final answer
    x = 278.65

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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.