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Finding the Fourth Proportional to 165.46, 248.70 and 104.98

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Solution

The fourth proportional to 165.46, 248.70 and 104.98 is: 157.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.46 : 248.70 = 104.98 : x
  2. Step 2: Convert to fraction form
    165.46/248.70 = 104.98/x
  3. Step 3: Cross multiply
    165.46x = 248.70 × 104.98
  4. Step 4: Simplify right side
    165.46x = 26,108.53
  5. Step 5: Solve for x
    x = 26,108.53/165.46
  6. Step 6: Final answer
    x = 157.79

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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.