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Finding the Fourth Proportional to 293.80, 441.38 and 184.45

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Solution

The fourth proportional to 293.80, 441.38 and 184.45 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.80 : 441.38 = 184.45 : x
  2. Step 2: Convert to fraction form
    293.80/441.38 = 184.45/x
  3. Step 3: Cross multiply
    293.80x = 441.38 × 184.45
  4. Step 4: Simplify right side
    293.80x = 81,412.54
  5. Step 5: Solve for x
    x = 81,412.54/293.80
  6. Step 6: Final answer
    x = 277.10

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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.