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Finding the Fourth Proportional to 325.86, 487.68 and 188.70

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Solution

The fourth proportional to 325.86, 487.68 and 188.70 is: 282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.86 : 487.68 = 188.70 : x
  2. Step 2: Convert to fraction form
    325.86/487.68 = 188.70/x
  3. Step 3: Cross multiply
    325.86x = 487.68 × 188.70
  4. Step 4: Simplify right side
    325.86x = 92,025.22
  5. Step 5: Solve for x
    x = 92,025.22/325.86
  6. Step 6: Final answer
    x = 282.41

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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.