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Finding the Fourth Proportional to 289.98, 400.14 and 202.50

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Solution

The fourth proportional to 289.98, 400.14 and 202.50 is: 279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.98 : 400.14 = 202.50 : x
  2. Step 2: Convert to fraction form
    289.98/400.14 = 202.50/x
  3. Step 3: Cross multiply
    289.98x = 400.14 × 202.50
  4. Step 4: Simplify right side
    289.98x = 81,028.35
  5. Step 5: Solve for x
    x = 81,028.35/289.98
  6. Step 6: Final answer
    x = 279.43

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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.