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Finding the Fourth Proportional to 217.35, 325.74 and 145.26

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Solution

The fourth proportional to 217.35, 325.74 and 145.26 is: 217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.35 : 325.74 = 145.26 : x
  2. Step 2: Convert to fraction form
    217.35/325.74 = 145.26/x
  3. Step 3: Cross multiply
    217.35x = 325.74 × 145.26
  4. Step 4: Simplify right side
    217.35x = 47,316.99
  5. Step 5: Solve for x
    x = 47,316.99/217.35
  6. Step 6: Final answer
    x = 217.70

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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.