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Finding the Fourth Proportional to 412.11, 617.85 and 152.01

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Solution

The fourth proportional to 412.11, 617.85 and 152.01 is: 227.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.11 : 617.85 = 152.01 : x
  2. Step 2: Convert to fraction form
    412.11/617.85 = 152.01/x
  3. Step 3: Cross multiply
    412.11x = 617.85 × 152.01
  4. Step 4: Simplify right side
    412.11x = 93,919.38
  5. Step 5: Solve for x
    x = 93,919.38/412.11
  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.