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Finding the Fourth Proportional to 347.33, 520.52 and 164.54

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Solution

The fourth proportional to 347.33, 520.52 and 164.54 is: 246.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.33 : 520.52 = 164.54 : x
  2. Step 2: Convert to fraction form
    347.33/520.52 = 164.54/x
  3. Step 3: Cross multiply
    347.33x = 520.52 × 164.54
  4. Step 4: Simplify right side
    347.33x = 85,642.94
  5. Step 5: Solve for x
    x = 85,642.94/347.33
  6. Step 6: Final answer
    x = 246.58

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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.