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Finding the Fourth Proportional to 182.65, 253.81 and 180.77

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Solution

The fourth proportional to 182.65, 253.81 and 180.77 is: 251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.65 : 253.81 = 180.77 : x
  2. Step 2: Convert to fraction form
    182.65/253.81 = 180.77/x
  3. Step 3: Cross multiply
    182.65x = 253.81 × 180.77
  4. Step 4: Simplify right side
    182.65x = 45,880.33
  5. Step 5: Solve for x
    x = 45,880.33/182.65
  6. Step 6: Final answer
    x = 251.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.