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Finding the Fourth Proportional to 253.86, 380.86 and 157.74

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Solution

The fourth proportional to 253.86, 380.86 and 157.74 is: 236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.86 : 380.86 = 157.74 : x
  2. Step 2: Convert to fraction form
    253.86/380.86 = 157.74/x
  3. Step 3: Cross multiply
    253.86x = 380.86 × 157.74
  4. Step 4: Simplify right side
    253.86x = 60,076.86
  5. Step 5: Solve for x
    x = 60,076.86/253.86
  6. Step 6: Final answer
    x = 236.65

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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.