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Finding the Fourth Proportional to 158.56, 218.24 and 150.36

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Solution

The fourth proportional to 158.56, 218.24 and 150.36 is: 206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.56 : 218.24 = 150.36 : x
  2. Step 2: Convert to fraction form
    158.56/218.24 = 150.36/x
  3. Step 3: Cross multiply
    158.56x = 218.24 × 150.36
  4. Step 4: Simplify right side
    158.56x = 32,814.41
  5. Step 5: Solve for x
    x = 32,814.41/158.56
  6. Step 6: Final answer
    x = 206.96

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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.