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Finding the Fourth Proportional to 372.58, 559.31 and 175.11

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Solution

The fourth proportional to 372.58, 559.31 and 175.11 is: 262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.58 : 559.31 = 175.11 : x
  2. Step 2: Convert to fraction form
    372.58/559.31 = 175.11/x
  3. Step 3: Cross multiply
    372.58x = 559.31 × 175.11
  4. Step 4: Simplify right side
    372.58x = 97,940.77
  5. Step 5: Solve for x
    x = 97,940.77/372.58
  6. Step 6: Final answer
    x = 262.87

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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.