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Finding the Fourth Proportional to 325.08, 448.57 and 194.06

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Solution

The fourth proportional to 325.08, 448.57 and 194.06 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.08 : 448.57 = 194.06 : x
  2. Step 2: Convert to fraction form
    325.08/448.57 = 194.06/x
  3. Step 3: Cross multiply
    325.08x = 448.57 × 194.06
  4. Step 4: Simplify right side
    325.08x = 87,050.86
  5. Step 5: Solve for x
    x = 87,050.86/325.08
  6. Step 6: Final answer
    x = 267.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.