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Finding the Fourth Proportional to 306.81, 460.22 and 152.81

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Solution

The fourth proportional to 306.81, 460.22 and 152.81 is: 229.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.81 : 460.22 = 152.81 : x
  2. Step 2: Convert to fraction form
    306.81/460.22 = 152.81/x
  3. Step 3: Cross multiply
    306.81x = 460.22 × 152.81
  4. Step 4: Simplify right side
    306.81x = 70,324.88
  5. Step 5: Solve for x
    x = 70,324.88/306.81
  6. Step 6: Final answer
    x = 229.21

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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.