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Finding the Fourth Proportional to 200.14, 275.88 and 183.40

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Solution

The fourth proportional to 200.14, 275.88 and 183.40 is: 252.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 275.88 = 183.40 : x
  2. Step 2: Convert to fraction form
    200.14/275.88 = 183.40/x
  3. Step 3: Cross multiply
    200.14x = 275.88 × 183.40
  4. Step 4: Simplify right side
    200.14x = 50,596.39
  5. Step 5: Solve for x
    x = 50,596.39/200.14
  6. Step 6: Final answer
    x = 252.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.