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Finding the Fourth Proportional to 491.09, 736.64 and 149.09

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Solution

The fourth proportional to 491.09, 736.64 and 149.09 is: 223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.09 : 736.64 = 149.09 : x
  2. Step 2: Convert to fraction form
    491.09/736.64 = 149.09/x
  3. Step 3: Cross multiply
    491.09x = 736.64 × 149.09
  4. Step 4: Simplify right side
    491.09x = 109,825.66
  5. Step 5: Solve for x
    x = 109,825.66/491.09
  6. Step 6: Final answer
    x = 223.64

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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.