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Finding the Fourth Proportional to 611.56, 917.34 and 178.84

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Solution

The fourth proportional to 611.56, 917.34 and 178.84 is: 268.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.56 : 917.34 = 178.84 : x
  2. Step 2: Convert to fraction form
    611.56/917.34 = 178.84/x
  3. Step 3: Cross multiply
    611.56x = 917.34 × 178.84
  4. Step 4: Simplify right side
    611.56x = 164,057.09
  5. Step 5: Solve for x
    x = 164,057.09/611.56
  6. Step 6: Final answer
    x = 268.26

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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.