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Finding the Fourth Proportional to 182.00, 274.37 and 170.26

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Solution

The fourth proportional to 182.00, 274.37 and 170.26 is: 256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.00 : 274.37 = 170.26 : x
  2. Step 2: Convert to fraction form
    182.00/274.37 = 170.26/x
  3. Step 3: Cross multiply
    182.00x = 274.37 × 170.26
  4. Step 4: Simplify right side
    182.00x = 46,712.70
  5. Step 5: Solve for x
    x = 46,712.70/182.00
  6. Step 6: Final answer
    x = 256.66

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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.