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Finding the Fourth Proportional to 398.58, 597.96 and 138.66

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Solution

The fourth proportional to 398.58, 597.96 and 138.66 is: 208.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.58 : 597.96 = 138.66 : x
  2. Step 2: Convert to fraction form
    398.58/597.96 = 138.66/x
  3. Step 3: Cross multiply
    398.58x = 597.96 × 138.66
  4. Step 4: Simplify right side
    398.58x = 82,913.13
  5. Step 5: Solve for x
    x = 82,913.13/398.58
  6. Step 6: Final answer
    x = 208.02

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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.