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Finding the Fourth Proportional to 263.97, 364.24 and 147.53

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Solution

The fourth proportional to 263.97, 364.24 and 147.53 is: 203.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.97 : 364.24 = 147.53 : x
  2. Step 2: Convert to fraction form
    263.97/364.24 = 147.53/x
  3. Step 3: Cross multiply
    263.97x = 364.24 × 147.53
  4. Step 4: Simplify right side
    263.97x = 53,736.33
  5. Step 5: Solve for x
    x = 53,736.33/263.97
  6. Step 6: Final answer
    x = 203.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.