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Finding the Fourth Proportional to 395.62, 593.38 and 148.81

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Solution

The fourth proportional to 395.62, 593.38 and 148.81 is: 223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.62 : 593.38 = 148.81 : x
  2. Step 2: Convert to fraction form
    395.62/593.38 = 148.81/x
  3. Step 3: Cross multiply
    395.62x = 593.38 × 148.81
  4. Step 4: Simplify right side
    395.62x = 88,300.88
  5. Step 5: Solve for x
    x = 88,300.88/395.62
  6. Step 6: Final answer
    x = 223.20

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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.