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Finding the Fourth Proportional to 189.57, 261.57 and 114.86

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Solution

The fourth proportional to 189.57, 261.57 and 114.86 is: 158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.57 : 261.57 = 114.86 : x
  2. Step 2: Convert to fraction form
    189.57/261.57 = 114.86/x
  3. Step 3: Cross multiply
    189.57x = 261.57 × 114.86
  4. Step 4: Simplify right side
    189.57x = 30,044.58
  5. Step 5: Solve for x
    x = 30,044.58/189.57
  6. Step 6: Final answer
    x = 158.49

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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.