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Finding the Fourth Proportional to 289.02, 433.14 and 144.84

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Solution

The fourth proportional to 289.02, 433.14 and 144.84 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 433.14 = 144.84 : x
  2. Step 2: Convert to fraction form
    289.02/433.14 = 144.84/x
  3. Step 3: Cross multiply
    289.02x = 433.14 × 144.84
  4. Step 4: Simplify right side
    289.02x = 62,736.00
  5. Step 5: Solve for x
    x = 62,736.00/289.02
  6. Step 6: Final answer
    x = 217.06

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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.