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Finding the Fourth Proportional to 217.37, 325.73 and 148.66

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Solution

The fourth proportional to 217.37, 325.73 and 148.66 is: 222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.37 : 325.73 = 148.66 : x
  2. Step 2: Convert to fraction form
    217.37/325.73 = 148.66/x
  3. Step 3: Cross multiply
    217.37x = 325.73 × 148.66
  4. Step 4: Simplify right side
    217.37x = 48,423.02
  5. Step 5: Solve for x
    x = 48,423.02/217.37
  6. Step 6: Final answer
    x = 222.77

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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.