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Finding the Fourth Proportional to 306.78, 460.06 and 121.66

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Solution

The fourth proportional to 306.78, 460.06 and 121.66 is: 182.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.78 : 460.06 = 121.66 : x
  2. Step 2: Convert to fraction form
    306.78/460.06 = 121.66/x
  3. Step 3: Cross multiply
    306.78x = 460.06 × 121.66
  4. Step 4: Simplify right side
    306.78x = 55,970.90
  5. Step 5: Solve for x
    x = 55,970.90/306.78
  6. Step 6: Final answer
    x = 182.45

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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.