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Finding the Fourth Proportional to 372.15, 558.57 and 189.69

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Solution

The fourth proportional to 372.15, 558.57 and 189.69 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.15 : 558.57 = 189.69 : x
  2. Step 2: Convert to fraction form
    372.15/558.57 = 189.69/x
  3. Step 3: Cross multiply
    372.15x = 558.57 × 189.69
  4. Step 4: Simplify right side
    372.15x = 105,955.14
  5. Step 5: Solve for x
    x = 105,955.14/372.15
  6. Step 6: Final answer
    x = 284.71

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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.