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Finding the Fourth Proportional to 440.66, 661.04 and 166.77

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Solution

The fourth proportional to 440.66, 661.04 and 166.77 is: 250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.66 : 661.04 = 166.77 : x
  2. Step 2: Convert to fraction form
    440.66/661.04 = 166.77/x
  3. Step 3: Cross multiply
    440.66x = 661.04 × 166.77
  4. Step 4: Simplify right side
    440.66x = 110,240.81
  5. Step 5: Solve for x
    x = 110,240.81/440.66
  6. Step 6: Final answer
    x = 250.17

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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.