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Finding the Fourth Proportional to 306.05, 458.73 and 100.44

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Solution

The fourth proportional to 306.05, 458.73 and 100.44 is: 150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.05 : 458.73 = 100.44 : x
  2. Step 2: Convert to fraction form
    306.05/458.73 = 100.44/x
  3. Step 3: Cross multiply
    306.05x = 458.73 × 100.44
  4. Step 4: Simplify right side
    306.05x = 46,074.84
  5. Step 5: Solve for x
    x = 46,074.84/306.05
  6. Step 6: Final answer
    x = 150.55

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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.