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Finding the Fourth Proportional to 288.95, 433.29 and 106.43

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Solution

The fourth proportional to 288.95, 433.29 and 106.43 is: 159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.95 : 433.29 = 106.43 : x
  2. Step 2: Convert to fraction form
    288.95/433.29 = 106.43/x
  3. Step 3: Cross multiply
    288.95x = 433.29 × 106.43
  4. Step 4: Simplify right side
    288.95x = 46,115.05
  5. Step 5: Solve for x
    x = 46,115.05/288.95
  6. Step 6: Final answer
    x = 159.60

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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.