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Finding the Fourth Proportional to 611.94, 917.94 and 179.10

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Solution

The fourth proportional to 611.94, 917.94 and 179.10 is: 268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.94 : 917.94 = 179.10 : x
  2. Step 2: Convert to fraction form
    611.94/917.94 = 179.10/x
  3. Step 3: Cross multiply
    611.94x = 917.94 × 179.10
  4. Step 4: Simplify right side
    611.94x = 164,403.05
  5. Step 5: Solve for x
    x = 164,403.05/611.94
  6. Step 6: Final answer
    x = 268.66

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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.