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Finding the Fourth Proportional to 514.16, 771.17 and 189.46

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Solution

The fourth proportional to 514.16, 771.17 and 189.46 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 771.17 = 189.46 : x
  2. Step 2: Convert to fraction form
    514.16/771.17 = 189.46/x
  3. Step 3: Cross multiply
    514.16x = 771.17 × 189.46
  4. Step 4: Simplify right side
    514.16x = 146,101.07
  5. Step 5: Solve for x
    x = 146,101.07/514.16
  6. Step 6: Final answer
    x = 284.15

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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.