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Finding the Fourth Proportional to 289.02, 432.75 and 196.28

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Solution

The fourth proportional to 289.02, 432.75 and 196.28 is: 293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.02 : 432.75 = 196.28 : x
  2. Step 2: Convert to fraction form
    289.02/432.75 = 196.28/x
  3. Step 3: Cross multiply
    289.02x = 432.75 × 196.28
  4. Step 4: Simplify right side
    289.02x = 84,940.17
  5. Step 5: Solve for x
    x = 84,940.17/289.02
  6. Step 6: Final answer
    x = 293.89

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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.