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Finding the Fourth Proportional to 371.51, 556.97 and 137.18

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Solution

The fourth proportional to 371.51, 556.97 and 137.18 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.51 : 556.97 = 137.18 : x
  2. Step 2: Convert to fraction form
    371.51/556.97 = 137.18/x
  3. Step 3: Cross multiply
    371.51x = 556.97 × 137.18
  4. Step 4: Simplify right side
    371.51x = 76,401.67
  5. Step 5: Solve for x
    x = 76,401.67/371.51
  6. Step 6: Final answer
    x = 205.65

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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.