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Finding the Fourth Proportional to 349.74, 523.98 and 164.32

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Solution

The fourth proportional to 349.74, 523.98 and 164.32 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.74 : 523.98 = 164.32 : x
  2. Step 2: Convert to fraction form
    349.74/523.98 = 164.32/x
  3. Step 3: Cross multiply
    349.74x = 523.98 × 164.32
  4. Step 4: Simplify right side
    349.74x = 86,100.39
  5. Step 5: Solve for x
    x = 86,100.39/349.74
  6. Step 6: Final answer
    x = 246.18

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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.