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Finding the Fourth Proportional to 189.32, 261.06 and 137.21

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Solution

The fourth proportional to 189.32, 261.06 and 137.21 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 261.06 = 137.21 : x
  2. Step 2: Convert to fraction form
    189.32/261.06 = 137.21/x
  3. Step 3: Cross multiply
    189.32x = 261.06 × 137.21
  4. Step 4: Simplify right side
    189.32x = 35,818.74
  5. Step 5: Solve for x
    x = 35,818.74/189.32
  6. Step 6: Final answer
    x = 189.20

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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.