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Finding the Fourth Proportional to 148, 221.76 and 131.84

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Solution

The fourth proportional to 148, 221.76 and 131.84 is: 197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148 : 221.76 = 131.84 : x
  2. Step 2: Convert to fraction form
    148/221.76 = 131.84/x
  3. Step 3: Cross multiply
    148x = 221.76 × 131.84
  4. Step 4: Simplify right side
    148x = 29,236.84
  5. Step 5: Solve for x
    x = 29,236.84/148
  6. Step 6: Final answer
    x = 197.55

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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.