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Finding the Fourth Proportional to 398.86, 598.35 and 138.92

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Solution

The fourth proportional to 398.86, 598.35 and 138.92 is: 208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.86 : 598.35 = 138.92 : x
  2. Step 2: Convert to fraction form
    398.86/598.35 = 138.92/x
  3. Step 3: Cross multiply
    398.86x = 598.35 × 138.92
  4. Step 4: Simplify right side
    398.86x = 83,122.78
  5. Step 5: Solve for x
    x = 83,122.78/398.86
  6. Step 6: Final answer
    x = 208.40

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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.