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Finding the Fourth Proportional to 306.78, 459.89 and 111.64

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Solution

The fourth proportional to 306.78, 459.89 and 111.64 is: 167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 459.89 = 111.64 : x
  2. Step 2: Convert to fraction form
    306.78/459.89 = 111.64/x
  3. Step 3: Cross multiply
    306.78x = 459.89 × 111.64
  4. Step 4: Simplify right side
    306.78x = 51,339.82
  5. Step 5: Solve for x
    x = 51,339.82/306.78
  6. Step 6: Final answer
    x = 167.35

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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.