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Finding the Fourth Proportional to 768.06, 1,152.12 and 220.29

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Solution

The fourth proportional to 768.06, 1,152.12 and 220.29 is: 330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.06 : 1,152.12 = 220.29 : x
  2. Step 2: Convert to fraction form
    768.06/1,152.12 = 220.29/x
  3. Step 3: Cross multiply
    768.06x = 1,152.12 × 220.29
  4. Step 4: Simplify right side
    768.06x = 253,800.51
  5. Step 5: Solve for x
    x = 253,800.51/768.06
  6. Step 6: Final answer
    x = 330.44

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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.