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Finding the Fourth Proportional to 234.95, 352.52 and 105.06

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Solution

The fourth proportional to 234.95, 352.52 and 105.06 is: 157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.95 : 352.52 = 105.06 : x
  2. Step 2: Convert to fraction form
    234.95/352.52 = 105.06/x
  3. Step 3: Cross multiply
    234.95x = 352.52 × 105.06
  4. Step 4: Simplify right side
    234.95x = 37,036.94
  5. Step 5: Solve for x
    x = 37,036.94/234.95
  6. Step 6: Final answer
    x = 157.64

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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.