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Finding the Fourth Proportional to 491.60, 737.22 and 144.82

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Solution

The fourth proportional to 491.60, 737.22 and 144.82 is: 217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.60 : 737.22 = 144.82 : x
  2. Step 2: Convert to fraction form
    491.60/737.22 = 144.82/x
  3. Step 3: Cross multiply
    491.60x = 737.22 × 144.82
  4. Step 4: Simplify right side
    491.60x = 106,764.20
  5. Step 5: Solve for x
    x = 106,764.20/491.60
  6. Step 6: Final answer
    x = 217.18

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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.