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Finding the Fourth Proportional to 200.16, 298.80 and 178.56

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Solution

The fourth proportional to 200.16, 298.80 and 178.56 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 298.80 = 178.56 : x
  2. Step 2: Convert to fraction form
    200.16/298.80 = 178.56/x
  3. Step 3: Cross multiply
    200.16x = 298.80 × 178.56
  4. Step 4: Simplify right side
    200.16x = 53,353.73
  5. Step 5: Solve for x
    x = 53,353.73/200.16
  6. Step 6: Final answer
    x = 266.56

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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.