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Finding the Fourth Proportional to 259.36, 388.64 and 181.20

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Solution

The fourth proportional to 259.36, 388.64 and 181.20 is: 271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 388.64 = 181.20 : x
  2. Step 2: Convert to fraction form
    259.36/388.64 = 181.20/x
  3. Step 3: Cross multiply
    259.36x = 388.64 × 181.20
  4. Step 4: Simplify right side
    259.36x = 70,419.92
  5. Step 5: Solve for x
    x = 70,419.92/259.36
  6. Step 6: Final answer
    x = 271.51

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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.