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Finding the Fourth Proportional to 183.60, 275.94 and 170.22

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Solution

The fourth proportional to 183.60, 275.94 and 170.22 is: 255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.60 : 275.94 = 170.22 : x
  2. Step 2: Convert to fraction form
    183.60/275.94 = 170.22/x
  3. Step 3: Cross multiply
    183.60x = 275.94 × 170.22
  4. Step 4: Simplify right side
    183.60x = 46,970.51
  5. Step 5: Solve for x
    x = 46,970.51/183.60
  6. Step 6: Final answer
    x = 255.83

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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.