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Finding the Fourth Proportional to 200.63, 299.54 and 166.48

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Solution

The fourth proportional to 200.63, 299.54 and 166.48 is: 248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.63 : 299.54 = 166.48 : x
  2. Step 2: Convert to fraction form
    200.63/299.54 = 166.48/x
  3. Step 3: Cross multiply
    200.63x = 299.54 × 166.48
  4. Step 4: Simplify right side
    200.63x = 49,867.09
  5. Step 5: Solve for x
    x = 49,867.09/200.63
  6. Step 6: Final answer
    x = 248.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.