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Finding the Fourth Proportional to 288.85, 433.44 and 115.60

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Solution

The fourth proportional to 288.85, 433.44 and 115.60 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.85 : 433.44 = 115.60 : x
  2. Step 2: Convert to fraction form
    288.85/433.44 = 115.60/x
  3. Step 3: Cross multiply
    288.85x = 433.44 × 115.60
  4. Step 4: Simplify right side
    288.85x = 50,104.58
  5. Step 5: Solve for x
    x = 50,104.58/288.85
  6. Step 6: Final answer
    x = 173.46

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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.