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Finding the Fourth Proportional to 611.82, 917.64 and 178.92

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Solution

The fourth proportional to 611.82, 917.64 and 178.92 is: 268.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.82 : 917.64 = 178.92 : x
  2. Step 2: Convert to fraction form
    611.82/917.64 = 178.92/x
  3. Step 3: Cross multiply
    611.82x = 917.64 × 178.92
  4. Step 4: Simplify right side
    611.82x = 164,184.15
  5. Step 5: Solve for x
    x = 164,184.15/611.82
  6. Step 6: Final answer
    x = 268.35

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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.