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Finding the Fourth Proportional to 217.22, 325.23 and 152.90

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Solution

The fourth proportional to 217.22, 325.23 and 152.90 is: 228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.22 : 325.23 = 152.90 : x
  2. Step 2: Convert to fraction form
    217.22/325.23 = 152.90/x
  3. Step 3: Cross multiply
    217.22x = 325.23 × 152.90
  4. Step 4: Simplify right side
    217.22x = 49,727.67
  5. Step 5: Solve for x
    x = 49,727.67/217.22
  6. Step 6: Final answer
    x = 228.93

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Why These Related Problems?

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