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Finding the Fourth Proportional to 306.50, 459.96 and 114.13

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Solution

The fourth proportional to 306.50, 459.96 and 114.13 is: 171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 459.96 = 114.13 : x
  2. Step 2: Convert to fraction form
    306.50/459.96 = 114.13/x
  3. Step 3: Cross multiply
    306.50x = 459.96 × 114.13
  4. Step 4: Simplify right side
    306.50x = 52,492.94
  5. Step 5: Solve for x
    x = 52,492.94/306.50
  6. Step 6: Final answer
    x = 171.27

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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.