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Finding the Fourth Proportional to 169.75, 254.63 and 41.50

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Solution

The fourth proportional to 169.75, 254.63 and 41.50 is: 62.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.75 : 254.63 = 41.50 : x
  2. Step 2: Convert to fraction form
    169.75/254.63 = 41.50/x
  3. Step 3: Cross multiply
    169.75x = 254.63 × 41.50
  4. Step 4: Simplify right side
    169.75x = 10,567.15
  5. Step 5: Solve for x
    x = 10,567.15/169.75
  6. Step 6: Final answer
    x = 62.25

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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.