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Finding the Fourth Proportional to 234.53, 351.64 and 153.12

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Solution

The fourth proportional to 234.53, 351.64 and 153.12 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.53 : 351.64 = 153.12 : x
  2. Step 2: Convert to fraction form
    234.53/351.64 = 153.12/x
  3. Step 3: Cross multiply
    234.53x = 351.64 × 153.12
  4. Step 4: Simplify right side
    234.53x = 53,844.63
  5. Step 5: Solve for x
    x = 53,844.63/234.53
  6. Step 6: Final answer
    x = 229.59

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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.