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Finding the Fourth Proportional to 440.42, 660.59 and 151.85

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Solution

The fourth proportional to 440.42, 660.59 and 151.85 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.42 : 660.59 = 151.85 : x
  2. Step 2: Convert to fraction form
    440.42/660.59 = 151.85/x
  3. Step 3: Cross multiply
    440.42x = 660.59 × 151.85
  4. Step 4: Simplify right side
    440.42x = 100,312.05
  5. Step 5: Solve for x
    x = 100,312.05/440.42
  6. Step 6: Final answer
    x = 227.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.