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Finding the Fourth Proportional to 195.51, 294.60 and 162.02

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Solution

The fourth proportional to 195.51, 294.60 and 162.02 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.51 : 294.60 = 162.02 : x
  2. Step 2: Convert to fraction form
    195.51/294.60 = 162.02/x
  3. Step 3: Cross multiply
    195.51x = 294.60 × 162.02
  4. Step 4: Simplify right side
    195.51x = 47,729.62
  5. Step 5: Solve for x
    x = 47,729.62/195.51
  6. Step 6: Final answer
    x = 244.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.