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Finding the Fourth Proportional to 491.05, 736.70 and 182.92

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Solution

The fourth proportional to 491.05, 736.70 and 182.92 is: 274.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.05 : 736.70 = 182.92 : x
  2. Step 2: Convert to fraction form
    491.05/736.70 = 182.92/x
  3. Step 3: Cross multiply
    491.05x = 736.70 × 182.92
  4. Step 4: Simplify right side
    491.05x = 134,757.16
  5. Step 5: Solve for x
    x = 134,757.16/491.05
  6. Step 6: Final answer
    x = 274.43

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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.