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Finding the Fourth Proportional to 200.13, 298.73 and 177.09

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Solution

The fourth proportional to 200.13, 298.73 and 177.09 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.13 : 298.73 = 177.09 : x
  2. Step 2: Convert to fraction form
    200.13/298.73 = 177.09/x
  3. Step 3: Cross multiply
    200.13x = 298.73 × 177.09
  4. Step 4: Simplify right side
    200.13x = 52,902.10
  5. Step 5: Solve for x
    x = 52,902.10/200.13
  6. Step 6: Final answer
    x = 264.34

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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.