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Finding the Fourth Proportional to 440.94, 661.77 and 184.62

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Solution

The fourth proportional to 440.94, 661.77 and 184.62 is: 277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.94 : 661.77 = 184.62 : x
  2. Step 2: Convert to fraction form
    440.94/661.77 = 184.62/x
  3. Step 3: Cross multiply
    440.94x = 661.77 × 184.62
  4. Step 4: Simplify right side
    440.94x = 122,175.98
  5. Step 5: Solve for x
    x = 122,175.98/440.94
  6. Step 6: Final answer
    x = 277.08

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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.