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Finding the Fourth Proportional to 200.14, 298.52 and 182.45

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Solution

The fourth proportional to 200.14, 298.52 and 182.45 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 298.52 = 182.45 : x
  2. Step 2: Convert to fraction form
    200.14/298.52 = 182.45/x
  3. Step 3: Cross multiply
    200.14x = 298.52 × 182.45
  4. Step 4: Simplify right side
    200.14x = 54,465.49
  5. Step 5: Solve for x
    x = 54,465.49/200.14
  6. Step 6: Final answer
    x = 272.14

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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.