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Finding the Fourth Proportional to 158.31, 218.22 and 135.06

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Solution

The fourth proportional to 158.31, 218.22 and 135.06 is: 186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.31 : 218.22 = 135.06 : x
  2. Step 2: Convert to fraction form
    158.31/218.22 = 135.06/x
  3. Step 3: Cross multiply
    158.31x = 218.22 × 135.06
  4. Step 4: Simplify right side
    158.31x = 29,472.79
  5. Step 5: Solve for x
    x = 29,472.79/158.31
  6. Step 6: Final answer
    x = 186.17

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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.