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Finding the Fourth Proportional to 288.62, 398.00 and 190.25

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Solution

The fourth proportional to 288.62, 398.00 and 190.25 is: 262.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.62 : 398.00 = 190.25 : x
  2. Step 2: Convert to fraction form
    288.62/398.00 = 190.25/x
  3. Step 3: Cross multiply
    288.62x = 398.00 × 190.25
  4. Step 4: Simplify right side
    288.62x = 75,718.55
  5. Step 5: Solve for x
    x = 75,718.55/288.62
  6. Step 6: Final answer
    x = 262.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.