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Finding the Fourth Proportional to 192.90, 289.02 and 101.46

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Solution

The fourth proportional to 192.90, 289.02 and 101.46 is: 152.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.90 : 289.02 = 101.46 : x
  2. Step 2: Convert to fraction form
    192.90/289.02 = 101.46/x
  3. Step 3: Cross multiply
    192.90x = 289.02 × 101.46
  4. Step 4: Simplify right side
    192.90x = 29,323.97
  5. Step 5: Solve for x
    x = 29,323.97/192.90
  6. Step 6: Final answer
    x = 152.02

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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.