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Finding the Fourth Proportional to 200.19, 276.02 and 138.06

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Solution

The fourth proportional to 200.19, 276.02 and 138.06 is: 190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.19 : 276.02 = 138.06 : x
  2. Step 2: Convert to fraction form
    200.19/276.02 = 138.06/x
  3. Step 3: Cross multiply
    200.19x = 276.02 × 138.06
  4. Step 4: Simplify right side
    200.19x = 38,106.63
  5. Step 5: Solve for x
    x = 38,106.63/200.19
  6. Step 6: Final answer
    x = 190.35

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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.