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Finding the Fourth Proportional to 395.81, 593.53 and 135.74

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Solution

The fourth proportional to 395.81, 593.53 and 135.74 is: 203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.81 : 593.53 = 135.74 : x
  2. Step 2: Convert to fraction form
    395.81/593.53 = 135.74/x
  3. Step 3: Cross multiply
    395.81x = 593.53 × 135.74
  4. Step 4: Simplify right side
    395.81x = 80,565.76
  5. Step 5: Solve for x
    x = 80,565.76/395.81
  6. Step 6: Final answer
    x = 203.55

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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.