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Finding the Fourth Proportional to 412.01, 617.95 and 138.08

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Solution

The fourth proportional to 412.01, 617.95 and 138.08 is: 207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.01 : 617.95 = 138.08 : x
  2. Step 2: Convert to fraction form
    412.01/617.95 = 138.08/x
  3. Step 3: Cross multiply
    412.01x = 617.95 × 138.08
  4. Step 4: Simplify right side
    412.01x = 85,326.90
  5. Step 5: Solve for x
    x = 85,326.90/412.01
  6. Step 6: Final answer
    x = 207.10

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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.