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Finding the Fourth Proportional to 611.61, 917.34 and 178.77

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Solution

The fourth proportional to 611.61, 917.34 and 178.77 is: 268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.61 : 917.34 = 178.77 : x
  2. Step 2: Convert to fraction form
    611.61/917.34 = 178.77/x
  3. Step 3: Cross multiply
    611.61x = 917.34 × 178.77
  4. Step 4: Simplify right side
    611.61x = 163,992.87
  5. Step 5: Solve for x
    x = 163,992.87/611.61
  6. Step 6: Final answer
    x = 268.13

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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.