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Finding the Fourth Proportional to 189.41, 261.39 and 106.51

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Solution

The fourth proportional to 189.41, 261.39 and 106.51 is: 146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.41 : 261.39 = 106.51 : x
  2. Step 2: Convert to fraction form
    189.41/261.39 = 106.51/x
  3. Step 3: Cross multiply
    189.41x = 261.39 × 106.51
  4. Step 4: Simplify right side
    189.41x = 27,840.98
  5. Step 5: Solve for x
    x = 27,840.98/189.41
  6. Step 6: Final answer
    x = 146.99

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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.