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Finding the Fourth Proportional to 768.10, 1,152.35 and 220.32

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Solution

The fourth proportional to 768.10, 1,152.35 and 220.32 is: 330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.10 : 1,152.35 = 220.32 : x
  2. Step 2: Convert to fraction form
    768.10/1,152.35 = 220.32/x
  3. Step 3: Cross multiply
    768.10x = 1,152.35 × 220.32
  4. Step 4: Simplify right side
    768.10x = 253,878.89
  5. Step 5: Solve for x
    x = 253,878.89/768.10
  6. Step 6: Final answer
    x = 330.53

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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.