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Finding the Fourth Proportional to 347.32, 521.06 and 164.92

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Solution

The fourth proportional to 347.32, 521.06 and 164.92 is: 247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.32 : 521.06 = 164.92 : x
  2. Step 2: Convert to fraction form
    347.32/521.06 = 164.92/x
  3. Step 3: Cross multiply
    347.32x = 521.06 × 164.92
  4. Step 4: Simplify right side
    347.32x = 85,933.22
  5. Step 5: Solve for x
    x = 85,933.22/347.32
  6. Step 6: Final answer
    x = 247.42

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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.