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Finding the Fourth Proportional to 288.84, 398.44 and 189.20

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Solution

The fourth proportional to 288.84, 398.44 and 189.20 is: 260.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.84 : 398.44 = 189.20 : x
  2. Step 2: Convert to fraction form
    288.84/398.44 = 189.20/x
  3. Step 3: Cross multiply
    288.84x = 398.44 × 189.20
  4. Step 4: Simplify right side
    288.84x = 75,384.85
  5. Step 5: Solve for x
    x = 75,384.85/288.84
  6. Step 6: Final answer
    x = 260.99

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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.