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Finding the Fourth Proportional to 189.83, 262.10 and 124.43

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Solution

The fourth proportional to 189.83, 262.10 and 124.43 is: 171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.83 : 262.10 = 124.43 : x
  2. Step 2: Convert to fraction form
    189.83/262.10 = 124.43/x
  3. Step 3: Cross multiply
    189.83x = 262.10 × 124.43
  4. Step 4: Simplify right side
    189.83x = 32,612.48
  5. Step 5: Solve for x
    x = 32,612.48/189.83
  6. Step 6: Final answer
    x = 171.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.