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Finding the Fourth Proportional to 372.58, 558.39 and 189.82

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Solution

The fourth proportional to 372.58, 558.39 and 189.82 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.58 : 558.39 = 189.82 : x
  2. Step 2: Convert to fraction form
    372.58/558.39 = 189.82/x
  3. Step 3: Cross multiply
    372.58x = 558.39 × 189.82
  4. Step 4: Simplify right side
    372.58x = 105,993.59
  5. Step 5: Solve for x
    x = 105,993.59/372.58
  6. Step 6: Final answer
    x = 284.49

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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.