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Finding the Fourth Proportional to 202.87, 304.89 and 178.57

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Solution

The fourth proportional to 202.87, 304.89 and 178.57 is: 268.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.87 : 304.89 = 178.57 : x
  2. Step 2: Convert to fraction form
    202.87/304.89 = 178.57/x
  3. Step 3: Cross multiply
    202.87x = 304.89 × 178.57
  4. Step 4: Simplify right side
    202.87x = 54,444.21
  5. Step 5: Solve for x
    x = 54,444.21/202.87
  6. Step 6: Final answer
    x = 268.37

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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.