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Finding the Fourth Proportional to 148.48, 222.06 and 145.24

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Solution

The fourth proportional to 148.48, 222.06 and 145.24 is: 217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.48 : 222.06 = 145.24 : x
  2. Step 2: Convert to fraction form
    148.48/222.06 = 145.24/x
  3. Step 3: Cross multiply
    148.48x = 222.06 × 145.24
  4. Step 4: Simplify right side
    148.48x = 32,251.99
  5. Step 5: Solve for x
    x = 32,251.99/148.48
  6. Step 6: Final answer
    x = 217.21

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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.