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Finding the Fourth Proportional to 189.85, 284.77 and 52.91

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Solution

The fourth proportional to 189.85, 284.77 and 52.91 is: 79.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.85 : 284.77 = 52.91 : x
  2. Step 2: Convert to fraction form
    189.85/284.77 = 52.91/x
  3. Step 3: Cross multiply
    189.85x = 284.77 × 52.91
  4. Step 4: Simplify right side
    189.85x = 15,067.18
  5. Step 5: Solve for x
    x = 15,067.18/189.85
  6. Step 6: Final answer
    x = 79.36

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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.