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Finding the Fourth Proportional to 347.40, 520.56 and 164.61

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Solution

The fourth proportional to 347.40, 520.56 and 164.61 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.40 : 520.56 = 164.61 : x
  2. Step 2: Convert to fraction form
    347.40/520.56 = 164.61/x
  3. Step 3: Cross multiply
    347.40x = 520.56 × 164.61
  4. Step 4: Simplify right side
    347.40x = 85,689.38
  5. Step 5: Solve for x
    x = 85,689.38/347.40
  6. Step 6: Final answer
    x = 246.66

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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.