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Finding the Fourth Proportional to 289.88, 434.31 and 192.32

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Solution

The fourth proportional to 289.88, 434.31 and 192.32 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.88 : 434.31 = 192.32 : x
  2. Step 2: Convert to fraction form
    289.88/434.31 = 192.32/x
  3. Step 3: Cross multiply
    289.88x = 434.31 × 192.32
  4. Step 4: Simplify right side
    289.88x = 83,524.33
  5. Step 5: Solve for x
    x = 83,524.33/289.88
  6. Step 6: Final answer
    x = 288.14

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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.