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Finding the Fourth Proportional to 306.75, 460.22 and 114.38

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Solution

The fourth proportional to 306.75, 460.22 and 114.38 is: 171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 460.22 = 114.38 : x
  2. Step 2: Convert to fraction form
    306.75/460.22 = 114.38/x
  3. Step 3: Cross multiply
    306.75x = 460.22 × 114.38
  4. Step 4: Simplify right side
    306.75x = 52,637.09
  5. Step 5: Solve for x
    x = 52,637.09/306.75
  6. Step 6: Final answer
    x = 171.60

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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.