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Finding the Fourth Proportional to 158.22, 236.58 and 154.38

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Solution

The fourth proportional to 158.22, 236.58 and 154.38 is: 230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.22 : 236.58 = 154.38 : x
  2. Step 2: Convert to fraction form
    158.22/236.58 = 154.38/x
  3. Step 3: Cross multiply
    158.22x = 236.58 × 154.38
  4. Step 4: Simplify right side
    158.22x = 36,523.22
  5. Step 5: Solve for x
    x = 36,523.22/158.22
  6. Step 6: Final answer
    x = 230.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.