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Finding the Fourth Proportional to 288.81, 398.44 and 183.87

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Solution

The fourth proportional to 288.81, 398.44 and 183.87 is: 253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.81 : 398.44 = 183.87 : x
  2. Step 2: Convert to fraction form
    288.81/398.44 = 183.87/x
  3. Step 3: Cross multiply
    288.81x = 398.44 × 183.87
  4. Step 4: Simplify right side
    288.81x = 73,258.71
  5. Step 5: Solve for x
    x = 73,258.71/288.81
  6. Step 6: Final answer
    x = 253.66

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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.