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Finding the Fourth Proportional to 289.08, 398.74 and 201.64

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Solution

The fourth proportional to 289.08, 398.74 and 201.64 is: 278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.08 : 398.74 = 201.64 : x
  2. Step 2: Convert to fraction form
    289.08/398.74 = 201.64/x
  3. Step 3: Cross multiply
    289.08x = 398.74 × 201.64
  4. Step 4: Simplify right side
    289.08x = 80,401.93
  5. Step 5: Solve for x
    x = 80,401.93/289.08
  6. Step 6: Final answer
    x = 278.13

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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.