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Finding the Fourth Proportional to 372.63, 559.13 and 164.37

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Solution

The fourth proportional to 372.63, 559.13 and 164.37 is: 246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.63 : 559.13 = 164.37 : x
  2. Step 2: Convert to fraction form
    372.63/559.13 = 164.37/x
  3. Step 3: Cross multiply
    372.63x = 559.13 × 164.37
  4. Step 4: Simplify right side
    372.63x = 91,904.20
  5. Step 5: Solve for x
    x = 91,904.20/372.63
  6. Step 6: Final answer
    x = 246.64

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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.