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Finding the Fourth Proportional to 441.05, 661.53 and 180.98

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Solution

The fourth proportional to 441.05, 661.53 and 180.98 is: 271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.05 : 661.53 = 180.98 : x
  2. Step 2: Convert to fraction form
    441.05/661.53 = 180.98/x
  3. Step 3: Cross multiply
    441.05x = 661.53 × 180.98
  4. Step 4: Simplify right side
    441.05x = 119,723.55
  5. Step 5: Solve for x
    x = 119,723.55/441.05
  6. Step 6: Final answer
    x = 271.45

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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.