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Finding the Fourth Proportional to 512.32, 768.59 and 147.08

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Solution

The fourth proportional to 512.32, 768.59 and 147.08 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.32 : 768.59 = 147.08 : x
  2. Step 2: Convert to fraction form
    512.32/768.59 = 147.08/x
  3. Step 3: Cross multiply
    512.32x = 768.59 × 147.08
  4. Step 4: Simplify right side
    512.32x = 113,041.63
  5. Step 5: Solve for x
    x = 113,041.63/512.32
  6. Step 6: Final answer
    x = 220.65

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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.