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Finding the Fourth Proportional to 440.94, 661.10 and 177.22

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Solution

The fourth proportional to 440.94, 661.10 and 177.22 is: 265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.94 : 661.10 = 177.22 : x
  2. Step 2: Convert to fraction form
    440.94/661.10 = 177.22/x
  3. Step 3: Cross multiply
    440.94x = 661.10 × 177.22
  4. Step 4: Simplify right side
    440.94x = 117,160.14
  5. Step 5: Solve for x
    x = 117,160.14/440.94
  6. Step 6: Final answer
    x = 265.71

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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.