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Finding the Fourth Proportional to 513.17, 769.14 and 188.36

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Solution

The fourth proportional to 513.17, 769.14 and 188.36 is: 282.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.17 : 769.14 = 188.36 : x
  2. Step 2: Convert to fraction form
    513.17/769.14 = 188.36/x
  3. Step 3: Cross multiply
    513.17x = 769.14 × 188.36
  4. Step 4: Simplify right side
    513.17x = 144,875.21
  5. Step 5: Solve for x
    x = 144,875.21/513.17
  6. Step 6: Final answer
    x = 282.31

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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.