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Finding the Fourth Proportional to 179.37, 268.60 and 159.02

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Solution

The fourth proportional to 179.37, 268.60 and 159.02 is: 238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.37 : 268.60 = 159.02 : x
  2. Step 2: Convert to fraction form
    179.37/268.60 = 159.02/x
  3. Step 3: Cross multiply
    179.37x = 268.60 × 159.02
  4. Step 4: Simplify right side
    179.37x = 42,711.98
  5. Step 5: Solve for x
    x = 42,711.98/179.37
  6. Step 6: Final answer
    x = 238.12

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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.