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Finding the Fourth Proportional to 200.76, 277.28 and 178.89

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Solution

The fourth proportional to 200.76, 277.28 and 178.89 is: 247.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.76 : 277.28 = 178.89 : x
  2. Step 2: Convert to fraction form
    200.76/277.28 = 178.89/x
  3. Step 3: Cross multiply
    200.76x = 277.28 × 178.89
  4. Step 4: Simplify right side
    200.76x = 49,601.72
  5. Step 5: Solve for x
    x = 49,601.72/200.76
  6. Step 6: Final answer
    x = 247.07

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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.