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Finding the Fourth Proportional to 179.77, 270.56 and 134.36

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Solution

The fourth proportional to 179.77, 270.56 and 134.36 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.77 : 270.56 = 134.36 : x
  2. Step 2: Convert to fraction form
    179.77/270.56 = 134.36/x
  3. Step 3: Cross multiply
    179.77x = 270.56 × 134.36
  4. Step 4: Simplify right side
    179.77x = 36,351.42
  5. Step 5: Solve for x
    x = 36,351.42/179.77
  6. Step 6: Final answer
    x = 202.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.