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Finding the Fourth Proportional to 322.96, 445.72 and 212.50

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Solution

The fourth proportional to 322.96, 445.72 and 212.50 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.96 : 445.72 = 212.50 : x
  2. Step 2: Convert to fraction form
    322.96/445.72 = 212.50/x
  3. Step 3: Cross multiply
    322.96x = 445.72 × 212.50
  4. Step 4: Simplify right side
    322.96x = 94,715.50
  5. Step 5: Solve for x
    x = 94,715.50/322.96
  6. Step 6: Final answer
    x = 293.27

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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.