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Finding the Fourth Proportional to 395.87, 593.71 and 118.15

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Solution

The fourth proportional to 395.87, 593.71 and 118.15 is: 177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.87 : 593.71 = 118.15 : x
  2. Step 2: Convert to fraction form
    395.87/593.71 = 118.15/x
  3. Step 3: Cross multiply
    395.87x = 593.71 × 118.15
  4. Step 4: Simplify right side
    395.87x = 70,145.06
  5. Step 5: Solve for x
    x = 70,145.06/395.87
  6. Step 6: Final answer
    x = 177.19

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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.