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Finding the Fourth Proportional to 372.06, 558.61 and 189.59

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Solution

The fourth proportional to 372.06, 558.61 and 189.59 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 558.61 = 189.59 : x
  2. Step 2: Convert to fraction form
    372.06/558.61 = 189.59/x
  3. Step 3: Cross multiply
    372.06x = 558.61 × 189.59
  4. Step 4: Simplify right side
    372.06x = 105,903.60
  5. Step 5: Solve for x
    x = 105,903.60/372.06
  6. Step 6: Final answer
    x = 284.64

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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.