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Finding the Fourth Proportional to 189.32, 261.39 and 147.23

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Solution

The fourth proportional to 189.32, 261.39 and 147.23 is: 203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 261.39 = 147.23 : x
  2. Step 2: Convert to fraction form
    189.32/261.39 = 147.23/x
  3. Step 3: Cross multiply
    189.32x = 261.39 × 147.23
  4. Step 4: Simplify right side
    189.32x = 38,484.45
  5. Step 5: Solve for x
    x = 38,484.45/189.32
  6. Step 6: Final answer
    x = 203.28

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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.