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Finding the Fourth Proportional to 512.76, 769.16 and 147.58

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Solution

The fourth proportional to 512.76, 769.16 and 147.58 is: 221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.76 : 769.16 = 147.58 : x
  2. Step 2: Convert to fraction form
    512.76/769.16 = 147.58/x
  3. Step 3: Cross multiply
    512.76x = 769.16 × 147.58
  4. Step 4: Simplify right side
    512.76x = 113,512.63
  5. Step 5: Solve for x
    x = 113,512.63/512.76
  6. Step 6: Final answer
    x = 221.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.