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Finding the Fourth Proportional to 188.02, 280.46 and 182.25

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Solution

The fourth proportional to 188.02, 280.46 and 182.25 is: 271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.02 : 280.46 = 182.25 : x
  2. Step 2: Convert to fraction form
    188.02/280.46 = 182.25/x
  3. Step 3: Cross multiply
    188.02x = 280.46 × 182.25
  4. Step 4: Simplify right side
    188.02x = 51,114.29
  5. Step 5: Solve for x
    x = 51,114.29/188.02
  6. Step 6: Final answer
    x = 271.85

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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.