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Finding the Fourth Proportional to 289.50, 398.89 and 202.02

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Solution

The fourth proportional to 289.50, 398.89 and 202.02 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 398.89 = 202.02 : x
  2. Step 2: Convert to fraction form
    289.50/398.89 = 202.02/x
  3. Step 3: Cross multiply
    289.50x = 398.89 × 202.02
  4. Step 4: Simplify right side
    289.50x = 80,583.76
  5. Step 5: Solve for x
    x = 80,583.76/289.50
  6. Step 6: Final answer
    x = 278.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.