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Finding the Fourth Proportional to 444.90, 666.76 and 184.60

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Solution

The fourth proportional to 444.90, 666.76 and 184.60 is: 276.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.90 : 666.76 = 184.60 : x
  2. Step 2: Convert to fraction form
    444.90/666.76 = 184.60/x
  3. Step 3: Cross multiply
    444.90x = 666.76 × 184.60
  4. Step 4: Simplify right side
    444.90x = 123,083.90
  5. Step 5: Solve for x
    x = 123,083.90/444.90
  6. Step 6: Final answer
    x = 276.66

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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.