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Finding the Fourth Proportional to 200.53, 276.15 and 178.45

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Solution

The fourth proportional to 200.53, 276.15 and 178.45 is: 245.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.53 : 276.15 = 178.45 : x
  2. Step 2: Convert to fraction form
    200.53/276.15 = 178.45/x
  3. Step 3: Cross multiply
    200.53x = 276.15 × 178.45
  4. Step 4: Simplify right side
    200.53x = 49,278.97
  5. Step 5: Solve for x
    x = 49,278.97/200.53
  6. Step 6: Final answer
    x = 245.74

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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.