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Finding the Fourth Proportional to 161.60, 222.76 and 137

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Solution

The fourth proportional to 161.60, 222.76 and 137 is: 188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.60 : 222.76 = 137 : x
  2. Step 2: Convert to fraction form
    161.60/222.76 = 137/x
  3. Step 3: Cross multiply
    161.60x = 222.76 × 137
  4. Step 4: Simplify right side
    161.60x = 30,518.12
  5. Step 5: Solve for x
    x = 30,518.12/161.60
  6. Step 6: Final answer
    x = 188.85

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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.