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Finding the Fourth Proportional to 236.68, 354.70 and 178.86

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Solution

The fourth proportional to 236.68, 354.70 and 178.86 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.68 : 354.70 = 178.86 : x
  2. Step 2: Convert to fraction form
    236.68/354.70 = 178.86/x
  3. Step 3: Cross multiply
    236.68x = 354.70 × 178.86
  4. Step 4: Simplify right side
    236.68x = 63,441.64
  5. Step 5: Solve for x
    x = 63,441.64/236.68
  6. Step 6: Final answer
    x = 268.05

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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.