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Finding the Fourth Proportional to 347.52, 521.29 and 193.36

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Solution

The fourth proportional to 347.52, 521.29 and 193.36 is: 290.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 521.29 = 193.36 : x
  2. Step 2: Convert to fraction form
    347.52/521.29 = 193.36/x
  3. Step 3: Cross multiply
    347.52x = 521.29 × 193.36
  4. Step 4: Simplify right side
    347.52x = 100,796.63
  5. Step 5: Solve for x
    x = 100,796.63/347.52
  6. Step 6: Final answer
    x = 290.05

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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.