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Finding the Fourth Proportional to 289.56, 399.70 and 202.49

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Solution

The fourth proportional to 289.56, 399.70 and 202.49 is: 279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.56 : 399.70 = 202.49 : x
  2. Step 2: Convert to fraction form
    289.56/399.70 = 202.49/x
  3. Step 3: Cross multiply
    289.56x = 399.70 × 202.49
  4. Step 4: Simplify right side
    289.56x = 80,935.25
  5. Step 5: Solve for x
    x = 80,935.25/289.56
  6. Step 6: Final answer
    x = 279.51

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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.