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Finding the Fourth Proportional to 236.54, 354.86 and 106.50

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Solution

The fourth proportional to 236.54, 354.86 and 106.50 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.54 : 354.86 = 106.50 : x
  2. Step 2: Convert to fraction form
    236.54/354.86 = 106.50/x
  3. Step 3: Cross multiply
    236.54x = 354.86 × 106.50
  4. Step 4: Simplify right side
    236.54x = 37,792.59
  5. Step 5: Solve for x
    x = 37,792.59/236.54
  6. Step 6: Final answer
    x = 159.77

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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.