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Finding the Fourth Proportional to 158.66, 218.58 and 135.29

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Solution

The fourth proportional to 158.66, 218.58 and 135.29 is: 186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.66 : 218.58 = 135.29 : x
  2. Step 2: Convert to fraction form
    158.66/218.58 = 135.29/x
  3. Step 3: Cross multiply
    158.66x = 218.58 × 135.29
  4. Step 4: Simplify right side
    158.66x = 29,571.69
  5. Step 5: Solve for x
    x = 29,571.69/158.66
  6. Step 6: Final answer
    x = 186.38

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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.