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Finding the Fourth Proportional to 265.96, 398.58 and 137.80

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Solution

The fourth proportional to 265.96, 398.58 and 137.80 is: 206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 398.58 = 137.80 : x
  2. Step 2: Convert to fraction form
    265.96/398.58 = 137.80/x
  3. Step 3: Cross multiply
    265.96x = 398.58 × 137.80
  4. Step 4: Simplify right side
    265.96x = 54,924.32
  5. Step 5: Solve for x
    x = 54,924.32/265.96
  6. Step 6: Final answer
    x = 206.51

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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.