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Finding the Fourth Proportional to 234.88, 324.02 and 156.23

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Solution

The fourth proportional to 234.88, 324.02 and 156.23 is: 215.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.88 : 324.02 = 156.23 : x
  2. Step 2: Convert to fraction form
    234.88/324.02 = 156.23/x
  3. Step 3: Cross multiply
    234.88x = 324.02 × 156.23
  4. Step 4: Simplify right side
    234.88x = 50,621.64
  5. Step 5: Solve for x
    x = 50,621.64/234.88
  6. Step 6: Final answer
    x = 215.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.