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Finding the Fourth Proportional to 611.77, 917.66 and 178.96

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Solution

The fourth proportional to 611.77, 917.66 and 178.96 is: 268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.77 : 917.66 = 178.96 : x
  2. Step 2: Convert to fraction form
    611.77/917.66 = 178.96/x
  3. Step 3: Cross multiply
    611.77x = 917.66 × 178.96
  4. Step 4: Simplify right side
    611.77x = 164,224.43
  5. Step 5: Solve for x
    x = 164,224.43/611.77
  6. Step 6: Final answer
    x = 268.44

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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.