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Finding the Fourth Proportional to 371.13, 556.29 and 175.97

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Solution

The fourth proportional to 371.13, 556.29 and 175.97 is: 263.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.13 : 556.29 = 175.97 : x
  2. Step 2: Convert to fraction form
    371.13/556.29 = 175.97/x
  3. Step 3: Cross multiply
    371.13x = 556.29 × 175.97
  4. Step 4: Simplify right side
    371.13x = 97,890.35
  5. Step 5: Solve for x
    x = 97,890.35/371.13
  6. Step 6: Final answer
    x = 263.76

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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.