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Finding the Fourth Proportional to 162.96, 243.84 and 98.00

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Solution

The fourth proportional to 162.96, 243.84 and 98.00 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.96 : 243.84 = 98.00 : x
  2. Step 2: Convert to fraction form
    162.96/243.84 = 98.00/x
  3. Step 3: Cross multiply
    162.96x = 243.84 × 98.00
  4. Step 4: Simplify right side
    162.96x = 23,896.44
  5. Step 5: Solve for x
    x = 23,896.44/162.96
  6. Step 6: Final answer
    x = 146.64

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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.