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Finding the Fourth Proportional to 347.87, 521.91 and 193.59

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Solution

The fourth proportional to 347.87, 521.91 and 193.59 is: 290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.87 : 521.91 = 193.59 : x
  2. Step 2: Convert to fraction form
    347.87/521.91 = 193.59/x
  3. Step 3: Cross multiply
    347.87x = 521.91 × 193.59
  4. Step 4: Simplify right side
    347.87x = 101,036.56
  5. Step 5: Solve for x
    x = 101,036.56/347.87
  6. Step 6: Final answer
    x = 290.45

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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.