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Finding the Fourth Proportional to 512.52, 769.18 and 188.10

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Solution

The fourth proportional to 512.52, 769.18 and 188.10 is: 282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.52 : 769.18 = 188.10 : x
  2. Step 2: Convert to fraction form
    512.52/769.18 = 188.10/x
  3. Step 3: Cross multiply
    512.52x = 769.18 × 188.10
  4. Step 4: Simplify right side
    512.52x = 144,682.76
  5. Step 5: Solve for x
    x = 144,682.76/512.52
  6. Step 6: Final answer
    x = 282.30

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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.