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Finding the Fourth Proportional to 259.54, 389.21 and 118.80

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Solution

The fourth proportional to 259.54, 389.21 and 118.80 is: 178.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.54 : 389.21 = 118.80 : x
  2. Step 2: Convert to fraction form
    259.54/389.21 = 118.80/x
  3. Step 3: Cross multiply
    259.54x = 389.21 × 118.80
  4. Step 4: Simplify right side
    259.54x = 46,237.55
  5. Step 5: Solve for x
    x = 46,237.55/259.54
  6. Step 6: Final answer
    x = 178.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.