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Finding the Fourth Proportional to 179.84, 270.08 and 171.84

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Solution

The fourth proportional to 179.84, 270.08 and 171.84 is: 258.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.84 : 270.08 = 171.84 : x
  2. Step 2: Convert to fraction form
    179.84/270.08 = 171.84/x
  3. Step 3: Cross multiply
    179.84x = 270.08 × 171.84
  4. Step 4: Simplify right side
    179.84x = 46,410.55
  5. Step 5: Solve for x
    x = 46,410.55/179.84
  6. Step 6: Final answer
    x = 258.07

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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.