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Finding the Fourth Proportional to 491.14, 736.56 and 166.75

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Solution

The fourth proportional to 491.14, 736.56 and 166.75 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.14 : 736.56 = 166.75 : x
  2. Step 2: Convert to fraction form
    491.14/736.56 = 166.75/x
  3. Step 3: Cross multiply
    491.14x = 736.56 × 166.75
  4. Step 4: Simplify right side
    491.14x = 122,821.38
  5. Step 5: Solve for x
    x = 122,821.38/491.14
  6. Step 6: Final answer
    x = 250.07

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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.