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Finding the Fourth Proportional to 491.08, 736.70 and 149

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Solution

The fourth proportional to 491.08, 736.70 and 149 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.08 : 736.70 = 149 : x
  2. Step 2: Convert to fraction form
    491.08/736.70 = 149/x
  3. Step 3: Cross multiply
    491.08x = 736.70 × 149
  4. Step 4: Simplify right side
    491.08x = 109,768.30
  5. Step 5: Solve for x
    x = 109,768.30/491.08
  6. Step 6: Final answer
    x = 223.52

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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.