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Finding the Fourth Proportional to 200.44, 299.70 and 177.76

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Solution

The fourth proportional to 200.44, 299.70 and 177.76 is: 265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.44 : 299.70 = 177.76 : x
  2. Step 2: Convert to fraction form
    200.44/299.70 = 177.76/x
  3. Step 3: Cross multiply
    200.44x = 299.70 × 177.76
  4. Step 4: Simplify right side
    200.44x = 53,274.67
  5. Step 5: Solve for x
    x = 53,274.67/200.44
  6. Step 6: Final answer
    x = 265.79

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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.