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Finding the Fourth Proportional to 306.02, 458.94 and 111

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Solution

The fourth proportional to 306.02, 458.94 and 111 is: 166.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.02 : 458.94 = 111 : x
  2. Step 2: Convert to fraction form
    306.02/458.94 = 111/x
  3. Step 3: Cross multiply
    306.02x = 458.94 × 111
  4. Step 4: Simplify right side
    306.02x = 50,942.34
  5. Step 5: Solve for x
    x = 50,942.34/306.02
  6. Step 6: Final answer
    x = 166.47

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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.