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Finding the Fourth Proportional to 325.63, 488.19 and 188.43

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Solution

The fourth proportional to 325.63, 488.19 and 188.43 is: 282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.63 : 488.19 = 188.43 : x
  2. Step 2: Convert to fraction form
    325.63/488.19 = 188.43/x
  3. Step 3: Cross multiply
    325.63x = 488.19 × 188.43
  4. Step 4: Simplify right side
    325.63x = 91,989.64
  5. Step 5: Solve for x
    x = 91,989.64/325.63
  6. Step 6: Final answer
    x = 282.50

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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.