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Finding the Fourth Proportional to 288.57, 398.24 and 183.66

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Solution

The fourth proportional to 288.57, 398.24 and 183.66 is: 253.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.57 : 398.24 = 183.66 : x
  2. Step 2: Convert to fraction form
    288.57/398.24 = 183.66/x
  3. Step 3: Cross multiply
    288.57x = 398.24 × 183.66
  4. Step 4: Simplify right side
    288.57x = 73,139.84
  5. Step 5: Solve for x
    x = 73,139.84/288.57
  6. Step 6: Final answer
    x = 253.46

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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.