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Finding the Fourth Proportional to 148.50, 221.47 and 138.24

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Solution

The fourth proportional to 148.50, 221.47 and 138.24 is: 206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.50 : 221.47 = 138.24 : x
  2. Step 2: Convert to fraction form
    148.50/221.47 = 138.24/x
  3. Step 3: Cross multiply
    148.50x = 221.47 × 138.24
  4. Step 4: Simplify right side
    148.50x = 30,615.67
  5. Step 5: Solve for x
    x = 30,615.67/148.50
  6. Step 6: Final answer
    x = 206.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.