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Finding the Fourth Proportional to 306.50, 459.78 and 114.20

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Solution

The fourth proportional to 306.50, 459.78 and 114.20 is: 171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 459.78 = 114.20 : x
  2. Step 2: Convert to fraction form
    306.50/459.78 = 114.20/x
  3. Step 3: Cross multiply
    306.50x = 459.78 × 114.20
  4. Step 4: Simplify right side
    306.50x = 52,506.88
  5. Step 5: Solve for x
    x = 52,506.88/306.50
  6. Step 6: Final answer
    x = 171.31

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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.