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Finding the Fourth Proportional to 200.14, 298.75 and 183.04

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Solution

The fourth proportional to 200.14, 298.75 and 183.04 is: 273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 298.75 = 183.04 : x
  2. Step 2: Convert to fraction form
    200.14/298.75 = 183.04/x
  3. Step 3: Cross multiply
    200.14x = 298.75 × 183.04
  4. Step 4: Simplify right side
    200.14x = 54,683.20
  5. Step 5: Solve for x
    x = 54,683.20/200.14
  6. Step 6: Final answer
    x = 273.22

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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.