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Finding the Fourth Proportional to 234.98, 324.25 and 146.59

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Solution

The fourth proportional to 234.98, 324.25 and 146.59 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.98 : 324.25 = 146.59 : x
  2. Step 2: Convert to fraction form
    234.98/324.25 = 146.59/x
  3. Step 3: Cross multiply
    234.98x = 324.25 × 146.59
  4. Step 4: Simplify right side
    234.98x = 47,530.63
  5. Step 5: Solve for x
    x = 47,530.63/234.98
  6. Step 6: Final answer
    x = 202.28

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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.