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Finding the Fourth Proportional to 294.25, 440.27 and 183.10

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Solution

The fourth proportional to 294.25, 440.27 and 183.10 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.25 : 440.27 = 183.10 : x
  2. Step 2: Convert to fraction form
    294.25/440.27 = 183.10/x
  3. Step 3: Cross multiply
    294.25x = 440.27 × 183.10
  4. Step 4: Simplify right side
    294.25x = 80,612.11
  5. Step 5: Solve for x
    x = 80,612.11/294.25
  6. Step 6: Final answer
    x = 273.96

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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.