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Finding the Fourth Proportional to 259.55, 389.18 and 122.63

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Solution

The fourth proportional to 259.55, 389.18 and 122.63 is: 183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.55 : 389.18 = 122.63 : x
  2. Step 2: Convert to fraction form
    259.55/389.18 = 122.63/x
  3. Step 3: Cross multiply
    259.55x = 389.18 × 122.63
  4. Step 4: Simplify right side
    259.55x = 47,723.50
  5. Step 5: Solve for x
    x = 47,723.50/259.55
  6. Step 6: Final answer
    x = 183.87

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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.