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Finding the Fourth Proportional to 185.64, 277.29 and 182.22

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Solution

The fourth proportional to 185.64, 277.29 and 182.22 is: 272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.64 : 277.29 = 182.22 : x
  2. Step 2: Convert to fraction form
    185.64/277.29 = 182.22/x
  3. Step 3: Cross multiply
    185.64x = 277.29 × 182.22
  4. Step 4: Simplify right side
    185.64x = 50,529.51
  5. Step 5: Solve for x
    x = 50,529.51/185.64
  6. Step 6: Final answer
    x = 272.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.