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Finding the Fourth Proportional to 162.95, 226.02 and 158.90

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Solution

The fourth proportional to 162.95, 226.02 and 158.90 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.95 : 226.02 = 158.90 : x
  2. Step 2: Convert to fraction form
    162.95/226.02 = 158.90/x
  3. Step 3: Cross multiply
    162.95x = 226.02 × 158.90
  4. Step 4: Simplify right side
    162.95x = 35,914.04
  5. Step 5: Solve for x
    x = 35,914.04/162.95
  6. Step 6: Final answer
    x = 220.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.