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Finding the Fourth Proportional to 179.20, 268.19 and 156.25

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Solution

The fourth proportional to 179.20, 268.19 and 156.25 is: 233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 268.19 = 156.25 : x
  2. Step 2: Convert to fraction form
    179.20/268.19 = 156.25/x
  3. Step 3: Cross multiply
    179.20x = 268.19 × 156.25
  4. Step 4: Simplify right side
    179.20x = 41,903.24
  5. Step 5: Solve for x
    x = 41,903.24/179.20
  6. Step 6: Final answer
    x = 233.84

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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.