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Finding the Fourth Proportional to 189.27, 283.91 and 52.31

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Solution

The fourth proportional to 189.27, 283.91 and 52.31 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.27 : 283.91 = 52.31 : x
  2. Step 2: Convert to fraction form
    189.27/283.91 = 52.31/x
  3. Step 3: Cross multiply
    189.27x = 283.91 × 52.31
  4. Step 4: Simplify right side
    189.27x = 14,851.33
  5. Step 5: Solve for x
    x = 14,851.33/189.27
  6. Step 6: Final answer
    x = 78.47

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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.