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Finding the Fourth Proportional to 259.07, 388.62 and 96.75

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Solution

The fourth proportional to 259.07, 388.62 and 96.75 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.07 : 388.62 = 96.75 : x
  2. Step 2: Convert to fraction form
    259.07/388.62 = 96.75/x
  3. Step 3: Cross multiply
    259.07x = 388.62 × 96.75
  4. Step 4: Simplify right side
    259.07x = 37,598.99
  5. Step 5: Solve for x
    x = 37,598.99/259.07
  6. Step 6: Final answer
    x = 145.13

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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.