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Finding the Fourth Proportional to 617.37, 926.06 and 178.68

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Solution

The fourth proportional to 617.37, 926.06 and 178.68 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.37 : 926.06 = 178.68 : x
  2. Step 2: Convert to fraction form
    617.37/926.06 = 178.68/x
  3. Step 3: Cross multiply
    617.37x = 926.06 × 178.68
  4. Step 4: Simplify right side
    617.37x = 165,468.40
  5. Step 5: Solve for x
    x = 165,468.40/617.37
  6. Step 6: Final answer
    x = 268.02

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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.