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Finding the Fourth Proportional to 412.12, 617.98 and 177.82

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Solution

The fourth proportional to 412.12, 617.98 and 177.82 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.12 : 617.98 = 177.82 : x
  2. Step 2: Convert to fraction form
    412.12/617.98 = 177.82/x
  3. Step 3: Cross multiply
    412.12x = 617.98 × 177.82
  4. Step 4: Simplify right side
    412.12x = 109,889.20
  5. Step 5: Solve for x
    x = 109,889.20/412.12
  6. Step 6: Final answer
    x = 266.64

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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.