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Finding the Fourth Proportional to 491.38, 737.27 and 183.49

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Solution

The fourth proportional to 491.38, 737.27 and 183.49 is: 275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.38 : 737.27 = 183.49 : x
  2. Step 2: Convert to fraction form
    491.38/737.27 = 183.49/x
  3. Step 3: Cross multiply
    491.38x = 737.27 × 183.49
  4. Step 4: Simplify right side
    491.38x = 135,281.67
  5. Step 5: Solve for x
    x = 135,281.67/491.38
  6. Step 6: Final answer
    x = 275.31

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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.