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Finding the Fourth Proportional to 236.72, 354.96 and 106.70

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Solution

The fourth proportional to 236.72, 354.96 and 106.70 is: 160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.72 : 354.96 = 106.70 : x
  2. Step 2: Convert to fraction form
    236.72/354.96 = 106.70/x
  3. Step 3: Cross multiply
    236.72x = 354.96 × 106.70
  4. Step 4: Simplify right side
    236.72x = 37,874.23
  5. Step 5: Solve for x
    x = 37,874.23/236.72
  6. Step 6: Final answer
    x = 160.00

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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.