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Finding the Fourth Proportional to 217.46, 325.95 and 73.07

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Solution

The fourth proportional to 217.46, 325.95 and 73.07 is: 109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.46 : 325.95 = 73.07 : x
  2. Step 2: Convert to fraction form
    217.46/325.95 = 73.07/x
  3. Step 3: Cross multiply
    217.46x = 325.95 × 73.07
  4. Step 4: Simplify right side
    217.46x = 23,817.17
  5. Step 5: Solve for x
    x = 23,817.17/217.46
  6. Step 6: Final answer
    x = 109.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.