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Finding the Fourth Proportional to 412.25, 617.96 and 152.03

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Solution

The fourth proportional to 412.25, 617.96 and 152.03 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.25 : 617.96 = 152.03 : x
  2. Step 2: Convert to fraction form
    412.25/617.96 = 152.03/x
  3. Step 3: Cross multiply
    412.25x = 617.96 × 152.03
  4. Step 4: Simplify right side
    412.25x = 93,950.38
  5. Step 5: Solve for x
    x = 93,950.38/412.25
  6. Step 6: Final answer
    x = 227.90

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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.