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Finding the Fourth Proportional to 325.72, 488.43 and 188.80

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Solution

The fourth proportional to 325.72, 488.43 and 188.80 is: 283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.72 : 488.43 = 188.80 : x
  2. Step 2: Convert to fraction form
    325.72/488.43 = 188.80/x
  3. Step 3: Cross multiply
    325.72x = 488.43 × 188.80
  4. Step 4: Simplify right side
    325.72x = 92,215.86
  5. Step 5: Solve for x
    x = 92,215.86/325.72
  6. Step 6: Final answer
    x = 283.12

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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.