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Finding the Fourth Proportional to 288.63, 398.40 and 183.67

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Solution

The fourth proportional to 288.63, 398.40 and 183.67 is: 253.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.63 : 398.40 = 183.67 : x
  2. Step 2: Convert to fraction form
    288.63/398.40 = 183.67/x
  3. Step 3: Cross multiply
    288.63x = 398.40 × 183.67
  4. Step 4: Simplify right side
    288.63x = 73,173.94
  5. Step 5: Solve for x
    x = 73,173.94/288.63
  6. Step 6: Final answer
    x = 253.52

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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.