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Finding the Fourth Proportional to 202.28, 279.39 and 146.93

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Solution

The fourth proportional to 202.28, 279.39 and 146.93 is: 202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.28 : 279.39 = 146.93 : x
  2. Step 2: Convert to fraction form
    202.28/279.39 = 146.93/x
  3. Step 3: Cross multiply
    202.28x = 279.39 × 146.93
  4. Step 4: Simplify right side
    202.28x = 41,049.38
  5. Step 5: Solve for x
    x = 41,049.38/202.28
  6. Step 6: Final answer
    x = 202.94

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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.