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Finding the Fourth Proportional to 613.98, 920.97 and 151.76

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Solution

The fourth proportional to 613.98, 920.97 and 151.76 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.98 : 920.97 = 151.76 : x
  2. Step 2: Convert to fraction form
    613.98/920.97 = 151.76/x
  3. Step 3: Cross multiply
    613.98x = 920.97 × 151.76
  4. Step 4: Simplify right side
    613.98x = 139,763.53
  5. Step 5: Solve for x
    x = 139,763.53/613.98
  6. Step 6: Final answer
    x = 227.64

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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.