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Finding the Fourth Proportional to 189.53, 261.53 and 163.34

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Solution

The fourth proportional to 189.53, 261.53 and 163.34 is: 225.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.53 : 261.53 = 163.34 : x
  2. Step 2: Convert to fraction form
    189.53/261.53 = 163.34/x
  3. Step 3: Cross multiply
    189.53x = 261.53 × 163.34
  4. Step 4: Simplify right side
    189.53x = 42,718.31
  5. Step 5: Solve for x
    x = 42,718.31/189.53
  6. Step 6: Final answer
    x = 225.39

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Why These Related Problems?

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