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Finding the Fourth Proportional to 306, 422.52 and 202.72

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Solution

The fourth proportional to 306, 422.52 and 202.72 is: 279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 422.52 = 202.72 : x
  2. Step 2: Convert to fraction form
    306/422.52 = 202.72/x
  3. Step 3: Cross multiply
    306x = 422.52 × 202.72
  4. Step 4: Simplify right side
    306x = 85,653.25
  5. Step 5: Solve for x
    x = 85,653.25/306
  6. Step 6: Final answer
    x = 279.91

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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.