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Finding the Fourth Proportional to 347.47, 521.10 and 193.47

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Solution

The fourth proportional to 347.47, 521.10 and 193.47 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.47 : 521.10 = 193.47 : x
  2. Step 2: Convert to fraction form
    347.47/521.10 = 193.47/x
  3. Step 3: Cross multiply
    347.47x = 521.10 × 193.47
  4. Step 4: Simplify right side
    347.47x = 100,817.22
  5. Step 5: Solve for x
    x = 100,817.22/347.47
  6. Step 6: Final answer
    x = 290.15

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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.