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Finding the Fourth Proportional to 491.97, 737.04 and 183.63

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Solution

The fourth proportional to 491.97, 737.04 and 183.63 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.97 : 737.04 = 183.63 : x
  2. Step 2: Convert to fraction form
    491.97/737.04 = 183.63/x
  3. Step 3: Cross multiply
    491.97x = 737.04 × 183.63
  4. Step 4: Simplify right side
    491.97x = 135,342.66
  5. Step 5: Solve for x
    x = 135,342.66/491.97
  6. Step 6: Final answer
    x = 275.10

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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.