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Finding the Fourth Proportional to 292.20, 440.32 and 241.98

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Solution

The fourth proportional to 292.20, 440.32 and 241.98 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 440.32 = 241.98 : x
  2. Step 2: Convert to fraction form
    292.20/440.32 = 241.98/x
  3. Step 3: Cross multiply
    292.20x = 440.32 × 241.98
  4. Step 4: Simplify right side
    292.20x = 106,545.22
  5. Step 5: Solve for x
    x = 106,545.22/292.20
  6. Step 6: Final answer
    x = 364.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.