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Finding the Fourth Proportional to 259.26, 389.16 and 115.08

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Solution

The fourth proportional to 259.26, 389.16 and 115.08 is: 172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.26 : 389.16 = 115.08 : x
  2. Step 2: Convert to fraction form
    259.26/389.16 = 115.08/x
  3. Step 3: Cross multiply
    259.26x = 389.16 × 115.08
  4. Step 4: Simplify right side
    259.26x = 44,784.53
  5. Step 5: Solve for x
    x = 44,784.53/259.26
  6. Step 6: Final answer
    x = 172.74

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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.