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Finding the Fourth Proportional to 192.98, 289.37 and 101.45

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Solution

The fourth proportional to 192.98, 289.37 and 101.45 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 289.37 = 101.45 : x
  2. Step 2: Convert to fraction form
    192.98/289.37 = 101.45/x
  3. Step 3: Cross multiply
    192.98x = 289.37 × 101.45
  4. Step 4: Simplify right side
    192.98x = 29,357.56
  5. Step 5: Solve for x
    x = 29,357.56/192.98
  6. Step 6: Final answer
    x = 152.13

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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.