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Finding the Fourth Proportional to 349.06, 523.50 and 102.26

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Solution

The fourth proportional to 349.06, 523.50 and 102.26 is: 153.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.06 : 523.50 = 102.26 : x
  2. Step 2: Convert to fraction form
    349.06/523.50 = 102.26/x
  3. Step 3: Cross multiply
    349.06x = 523.50 × 102.26
  4. Step 4: Simplify right side
    349.06x = 53,532.60
  5. Step 5: Solve for x
    x = 53,532.60/349.06
  6. Step 6: Final answer
    x = 153.36

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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.