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Finding the Fourth Proportional to 322.98, 445.70 and 188.43

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Solution

The fourth proportional to 322.98, 445.70 and 188.43 is: 260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.98 : 445.70 = 188.43 : x
  2. Step 2: Convert to fraction form
    322.98/445.70 = 188.43/x
  3. Step 3: Cross multiply
    322.98x = 445.70 × 188.43
  4. Step 4: Simplify right side
    322.98x = 83,982.31
  5. Step 5: Solve for x
    x = 83,982.31/322.98
  6. Step 6: Final answer
    x = 260.02

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