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Finding the Fourth Proportional to 288.61, 398.26 and 190.51

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Solution

The fourth proportional to 288.61, 398.26 and 190.51 is: 262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.61 : 398.26 = 190.51 : x
  2. Step 2: Convert to fraction form
    288.61/398.26 = 190.51/x
  3. Step 3: Cross multiply
    288.61x = 398.26 × 190.51
  4. Step 4: Simplify right side
    288.61x = 75,872.51
  5. Step 5: Solve for x
    x = 75,872.51/288.61
  6. Step 6: Final answer
    x = 262.89

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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.