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Finding the Fourth Proportional to 158.82, 218.63 and 131.14

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Solution

The fourth proportional to 158.82, 218.63 and 131.14 is: 180.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.82 : 218.63 = 131.14 : x
  2. Step 2: Convert to fraction form
    158.82/218.63 = 131.14/x
  3. Step 3: Cross multiply
    158.82x = 218.63 × 131.14
  4. Step 4: Simplify right side
    158.82x = 28,671.14
  5. Step 5: Solve for x
    x = 28,671.14/158.82
  6. Step 6: Final answer
    x = 180.53

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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.