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Finding the Fourth Proportional to 611.62, 917.49 and 178.75

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Solution

The fourth proportional to 611.62, 917.49 and 178.75 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.62 : 917.49 = 178.75 : x
  2. Step 2: Convert to fraction form
    611.62/917.49 = 178.75/x
  3. Step 3: Cross multiply
    611.62x = 917.49 × 178.75
  4. Step 4: Simplify right side
    611.62x = 164,001.34
  5. Step 5: Solve for x
    x = 164,001.34/611.62
  6. Step 6: Final answer
    x = 268.14

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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.