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Finding the Fourth Proportional to 491.28, 736.51 and 182.94

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Solution

The fourth proportional to 491.28, 736.51 and 182.94 is: 274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.28 : 736.51 = 182.94 : x
  2. Step 2: Convert to fraction form
    491.28/736.51 = 182.94/x
  3. Step 3: Cross multiply
    491.28x = 736.51 × 182.94
  4. Step 4: Simplify right side
    491.28x = 134,737.14
  5. Step 5: Solve for x
    x = 134,737.14/491.28
  6. Step 6: Final answer
    x = 274.26

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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.