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Finding the Fourth Proportional to 306.57, 459.80 and 111.56

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Solution

The fourth proportional to 306.57, 459.80 and 111.56 is: 167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 459.80 = 111.56 : x
  2. Step 2: Convert to fraction form
    306.57/459.80 = 111.56/x
  3. Step 3: Cross multiply
    306.57x = 459.80 × 111.56
  4. Step 4: Simplify right side
    306.57x = 51,293.58
  5. Step 5: Solve for x
    x = 51,293.58/306.57
  6. Step 6: Final answer
    x = 167.32

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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.