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Finding the Fourth Proportional to 288.94, 433.41 and 106.42

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Solution

The fourth proportional to 288.94, 433.41 and 106.42 is: 159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.94 : 433.41 = 106.42 : x
  2. Step 2: Convert to fraction form
    288.94/433.41 = 106.42/x
  3. Step 3: Cross multiply
    288.94x = 433.41 × 106.42
  4. Step 4: Simplify right side
    288.94x = 46,123.49
  5. Step 5: Solve for x
    x = 46,123.49/288.94
  6. Step 6: Final answer
    x = 159.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.