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Finding the Fourth Proportional to 200.02, 276.01 and 112.68

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Solution

The fourth proportional to 200.02, 276.01 and 112.68 is: 155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 276.01 = 112.68 : x
  2. Step 2: Convert to fraction form
    200.02/276.01 = 112.68/x
  3. Step 3: Cross multiply
    200.02x = 276.01 × 112.68
  4. Step 4: Simplify right side
    200.02x = 31,100.81
  5. Step 5: Solve for x
    x = 31,100.81/200.02
  6. Step 6: Final answer
    x = 155.49

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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.