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Finding the Fourth Proportional to 235.35, 352.98 and 105.30

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Solution

The fourth proportional to 235.35, 352.98 and 105.30 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.35 : 352.98 = 105.30 : x
  2. Step 2: Convert to fraction form
    235.35/352.98 = 105.30/x
  3. Step 3: Cross multiply
    235.35x = 352.98 × 105.30
  4. Step 4: Simplify right side
    235.35x = 37,168.79
  5. Step 5: Solve for x
    x = 37,168.79/235.35
  6. Step 6: Final answer
    x = 157.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.