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Finding the Fourth Proportional to 240.20, 359.60 and 148.62

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Solution

The fourth proportional to 240.20, 359.60 and 148.62 is: 222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.20 : 359.60 = 148.62 : x
  2. Step 2: Convert to fraction form
    240.20/359.60 = 148.62/x
  3. Step 3: Cross multiply
    240.20x = 359.60 × 148.62
  4. Step 4: Simplify right side
    240.20x = 53,443.75
  5. Step 5: Solve for x
    x = 53,443.75/240.20
  6. Step 6: Final answer
    x = 222.50

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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.