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Finding the Fourth Proportional to 347.09, 520.83 and 164.51

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Solution

The fourth proportional to 347.09, 520.83 and 164.51 is: 246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.09 : 520.83 = 164.51 : x
  2. Step 2: Convert to fraction form
    347.09/520.83 = 164.51/x
  3. Step 3: Cross multiply
    347.09x = 520.83 × 164.51
  4. Step 4: Simplify right side
    347.09x = 85,681.74
  5. Step 5: Solve for x
    x = 85,681.74/347.09
  6. Step 6: Final answer
    x = 246.86

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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.