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Finding the Fourth Proportional to 189.30, 261.62 and 158.22

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Solution

The fourth proportional to 189.30, 261.62 and 158.22 is: 218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.30 : 261.62 = 158.22 : x
  2. Step 2: Convert to fraction form
    189.30/261.62 = 158.22/x
  3. Step 3: Cross multiply
    189.30x = 261.62 × 158.22
  4. Step 4: Simplify right side
    189.30x = 41,393.52
  5. Step 5: Solve for x
    x = 41,393.52/189.30
  6. Step 6: Final answer
    x = 218.67

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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.