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Finding the Fourth Proportional to 253.39, 380.28 and 202.49

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Solution

The fourth proportional to 253.39, 380.28 and 202.49 is: 303.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.39 : 380.28 = 202.49 : x
  2. Step 2: Convert to fraction form
    253.39/380.28 = 202.49/x
  3. Step 3: Cross multiply
    253.39x = 380.28 × 202.49
  4. Step 4: Simplify right side
    253.39x = 77,002.90
  5. Step 5: Solve for x
    x = 77,002.90/253.39
  6. Step 6: Final answer
    x = 303.89

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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.