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Finding the Fourth Proportional to 189.14, 261.02 and 156.33

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Solution

The fourth proportional to 189.14, 261.02 and 156.33 is: 215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.14 : 261.02 = 156.33 : x
  2. Step 2: Convert to fraction form
    189.14/261.02 = 156.33/x
  3. Step 3: Cross multiply
    189.14x = 261.02 × 156.33
  4. Step 4: Simplify right side
    189.14x = 40,805.65
  5. Step 5: Solve for x
    x = 40,805.65/189.14
  6. Step 6: Final answer
    x = 215.75

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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.