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Finding the Fourth Proportional to 347.02, 520.17 and 164.20

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Solution

The fourth proportional to 347.02, 520.17 and 164.20 is: 246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.02 : 520.17 = 164.20 : x
  2. Step 2: Convert to fraction form
    347.02/520.17 = 164.20/x
  3. Step 3: Cross multiply
    347.02x = 520.17 × 164.20
  4. Step 4: Simplify right side
    347.02x = 85,409.02
  5. Step 5: Solve for x
    x = 85,409.02/347.02
  6. Step 6: Final answer
    x = 246.12

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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.