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Finding the Fourth Proportional to 892.25, 1,338.40 and 242.97

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Solution

The fourth proportional to 892.25, 1,338.40 and 242.97 is: 364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.25 : 1,338.40 = 242.97 : x
  2. Step 2: Convert to fraction form
    892.25/1,338.40 = 242.97/x
  3. Step 3: Cross multiply
    892.25x = 1,338.40 × 242.97
  4. Step 4: Simplify right side
    892.25x = 325,196.37
  5. Step 5: Solve for x
    x = 325,196.37/892.25
  6. Step 6: Final answer
    x = 364.47

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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.