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Finding the Fourth Proportional to 440.14, 660.24 and 183.64

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Solution

The fourth proportional to 440.14, 660.24 and 183.64 is: 275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.14 : 660.24 = 183.64 : x
  2. Step 2: Convert to fraction form
    440.14/660.24 = 183.64/x
  3. Step 3: Cross multiply
    440.14x = 660.24 × 183.64
  4. Step 4: Simplify right side
    440.14x = 121,246.47
  5. Step 5: Solve for x
    x = 121,246.47/440.14
  6. Step 6: Final answer
    x = 275.47

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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.