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Finding the Fourth Proportional to 200.08, 276.06 and 138.16

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Solution

The fourth proportional to 200.08, 276.06 and 138.16 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.08 : 276.06 = 138.16 : x
  2. Step 2: Convert to fraction form
    200.08/276.06 = 138.16/x
  3. Step 3: Cross multiply
    200.08x = 276.06 × 138.16
  4. Step 4: Simplify right side
    200.08x = 38,140.45
  5. Step 5: Solve for x
    x = 38,140.45/200.08
  6. Step 6: Final answer
    x = 190.63

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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.