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Finding the Fourth Proportional to 372.23, 558.68 and 189.75

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Solution

The fourth proportional to 372.23, 558.68 and 189.75 is: 284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.23 : 558.68 = 189.75 : x
  2. Step 2: Convert to fraction form
    372.23/558.68 = 189.75/x
  3. Step 3: Cross multiply
    372.23x = 558.68 × 189.75
  4. Step 4: Simplify right side
    372.23x = 106,009.53
  5. Step 5: Solve for x
    x = 106,009.53/372.23
  6. Step 6: Final answer
    x = 284.80

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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.