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Finding the Fourth Proportional to 236.48, 354.80 and 106.46

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Solution

The fourth proportional to 236.48, 354.80 and 106.46 is: 159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.48 : 354.80 = 106.46 : x
  2. Step 2: Convert to fraction form
    236.48/354.80 = 106.46/x
  3. Step 3: Cross multiply
    236.48x = 354.80 × 106.46
  4. Step 4: Simplify right side
    236.48x = 37,771.48
  5. Step 5: Solve for x
    x = 37,771.48/236.48
  6. Step 6: Final answer
    x = 159.73

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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.