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Finding the Fourth Proportional to 189.52, 282.22 and 177.84

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Solution

The fourth proportional to 189.52, 282.22 and 177.84 is: 264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.52 : 282.22 = 177.84 : x
  2. Step 2: Convert to fraction form
    189.52/282.22 = 177.84/x
  3. Step 3: Cross multiply
    189.52x = 282.22 × 177.84
  4. Step 4: Simplify right side
    189.52x = 50,190.00
  5. Step 5: Solve for x
    x = 50,190.00/189.52
  6. Step 6: Final answer
    x = 264.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.