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Finding the Fourth Proportional to 288.86, 398.64 and 164.53

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Solution

The fourth proportional to 288.86, 398.64 and 164.53 is: 227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 398.64 = 164.53 : x
  2. Step 2: Convert to fraction form
    288.86/398.64 = 164.53/x
  3. Step 3: Cross multiply
    288.86x = 398.64 × 164.53
  4. Step 4: Simplify right side
    288.86x = 65,585.42
  5. Step 5: Solve for x
    x = 65,585.42/288.86
  6. Step 6: Final answer
    x = 227.05

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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.