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Finding the Fourth Proportional to 234.02, 351.01 and 102.26

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Solution

The fourth proportional to 234.02, 351.01 and 102.26 is: 153.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.02 : 351.01 = 102.26 : x
  2. Step 2: Convert to fraction form
    234.02/351.01 = 102.26/x
  3. Step 3: Cross multiply
    234.02x = 351.01 × 102.26
  4. Step 4: Simplify right side
    234.02x = 35,894.28
  5. Step 5: Solve for x
    x = 35,894.28/234.02
  6. Step 6: Final answer
    x = 153.38

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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.