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Finding the Fourth Proportional to 200.02, 275.86 and 199.00

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Solution

The fourth proportional to 200.02, 275.86 and 199.00 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 275.86 = 199.00 : x
  2. Step 2: Convert to fraction form
    200.02/275.86 = 199.00/x
  3. Step 3: Cross multiply
    200.02x = 275.86 × 199.00
  4. Step 4: Simplify right side
    200.02x = 54,893.77
  5. Step 5: Solve for x
    x = 54,893.77/200.02
  6. Step 6: Final answer
    x = 274.45

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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.