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Finding the Fourth Proportional to 288.59, 398.25 and 190.53

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Solution

The fourth proportional to 288.59, 398.25 and 190.53 is: 262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.59 : 398.25 = 190.53 : x
  2. Step 2: Convert to fraction form
    288.59/398.25 = 190.53/x
  3. Step 3: Cross multiply
    288.59x = 398.25 × 190.53
  4. Step 4: Simplify right side
    288.59x = 75,878.57
  5. Step 5: Solve for x
    x = 75,878.57/288.59
  6. Step 6: Final answer
    x = 262.93

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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.