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Finding the Fourth Proportional to 234.60, 352.26 and 180.60

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Solution

The fourth proportional to 234.60, 352.26 and 180.60 is: 271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.60 : 352.26 = 180.60 : x
  2. Step 2: Convert to fraction form
    234.60/352.26 = 180.60/x
  3. Step 3: Cross multiply
    234.60x = 352.26 × 180.60
  4. Step 4: Simplify right side
    234.60x = 63,618.16
  5. Step 5: Solve for x
    x = 63,618.16/234.60
  6. Step 6: Final answer
    x = 271.18

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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.