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Finding the Fourth Proportional to 189.54, 261.33 and 156.74

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Solution

The fourth proportional to 189.54, 261.33 and 156.74 is: 216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 261.33 = 156.74 : x
  2. Step 2: Convert to fraction form
    189.54/261.33 = 156.74/x
  3. Step 3: Cross multiply
    189.54x = 261.33 × 156.74
  4. Step 4: Simplify right side
    189.54x = 40,958.97
  5. Step 5: Solve for x
    x = 40,958.97/189.54
  6. Step 6: Final answer
    x = 216.10

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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.