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Finding the Fourth Proportional to 491.41, 736.96 and 144.77

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Solution

The fourth proportional to 491.41, 736.96 and 144.77 is: 217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.41 : 736.96 = 144.77 : x
  2. Step 2: Convert to fraction form
    491.41/736.96 = 144.77/x
  3. Step 3: Cross multiply
    491.41x = 736.96 × 144.77
  4. Step 4: Simplify right side
    491.41x = 106,689.70
  5. Step 5: Solve for x
    x = 106,689.70/491.41
  6. Step 6: Final answer
    x = 217.11

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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.