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Finding the Fourth Proportional to 288.84, 398.59 and 164.50

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Solution

The fourth proportional to 288.84, 398.59 and 164.50 is: 227.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.84 : 398.59 = 164.50 : x
  2. Step 2: Convert to fraction form
    288.84/398.59 = 164.50/x
  3. Step 3: Cross multiply
    288.84x = 398.59 × 164.50
  4. Step 4: Simplify right side
    288.84x = 65,568.47
  5. Step 5: Solve for x
    x = 65,568.47/288.84
  6. Step 6: Final answer
    x = 227.01

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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.