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Finding the Fourth Proportional to 347.15, 521.07 and 193.15

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Solution

The fourth proportional to 347.15, 521.07 and 193.15 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.15 : 521.07 = 193.15 : x
  2. Step 2: Convert to fraction form
    347.15/521.07 = 193.15/x
  3. Step 3: Cross multiply
    347.15x = 521.07 × 193.15
  4. Step 4: Simplify right side
    347.15x = 100,644.60
  5. Step 5: Solve for x
    x = 100,644.60/347.15
  6. Step 6: Final answer
    x = 289.91

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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.