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Finding the Fourth Proportional to 370.25, 555.38 and 113.75

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Solution

The fourth proportional to 370.25, 555.38 and 113.75 is: 170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.25 : 555.38 = 113.75 : x
  2. Step 2: Convert to fraction form
    370.25/555.38 = 113.75/x
  3. Step 3: Cross multiply
    370.25x = 555.38 × 113.75
  4. Step 4: Simplify right side
    370.25x = 63,174.48
  5. Step 5: Solve for x
    x = 63,174.48/370.25
  6. Step 6: Final answer
    x = 170.63

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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.