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Finding the Fourth Proportional to 611.37, 917.21 and 178.53

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Solution

The fourth proportional to 611.37, 917.21 and 178.53 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.37 : 917.21 = 178.53 : x
  2. Step 2: Convert to fraction form
    611.37/917.21 = 178.53/x
  3. Step 3: Cross multiply
    611.37x = 917.21 × 178.53
  4. Step 4: Simplify right side
    611.37x = 163,744.92
  5. Step 5: Solve for x
    x = 163,744.92/611.37
  6. Step 6: Final answer
    x = 267.83

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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.