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Finding the Fourth Proportional to 395.16, 593.01 and 148.57

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Solution

The fourth proportional to 395.16, 593.01 and 148.57 is: 222.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 593.01 = 148.57 : x
  2. Step 2: Convert to fraction form
    395.16/593.01 = 148.57/x
  3. Step 3: Cross multiply
    395.16x = 593.01 × 148.57
  4. Step 4: Simplify right side
    395.16x = 88,103.50
  5. Step 5: Solve for x
    x = 88,103.50/395.16
  6. Step 6: Final answer
    x = 222.96

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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.