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Finding the Fourth Proportional to 309.44, 463.47 and 222.51

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Solution

The fourth proportional to 309.44, 463.47 and 222.51 is: 333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.44 : 463.47 = 222.51 : x
  2. Step 2: Convert to fraction form
    309.44/463.47 = 222.51/x
  3. Step 3: Cross multiply
    309.44x = 463.47 × 222.51
  4. Step 4: Simplify right side
    309.44x = 103,125.60
  5. Step 5: Solve for x
    x = 103,125.60/309.44
  6. Step 6: Final answer
    x = 333.27

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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.