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Finding the Fourth Proportional to 292.96, 441.45 and 242.73

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Solution

The fourth proportional to 292.96, 441.45 and 242.73 is: 365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.96 : 441.45 = 242.73 : x
  2. Step 2: Convert to fraction form
    292.96/441.45 = 242.73/x
  3. Step 3: Cross multiply
    292.96x = 441.45 × 242.73
  4. Step 4: Simplify right side
    292.96x = 107,149.74
  5. Step 5: Solve for x
    x = 107,149.74/292.96
  6. Step 6: Final answer
    x = 365.75

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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.