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Finding the Fourth Proportional to 200.69, 276.98 and 127.00

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Solution

The fourth proportional to 200.69, 276.98 and 127.00 is: 175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.69 : 276.98 = 127.00 : x
  2. Step 2: Convert to fraction form
    200.69/276.98 = 127.00/x
  3. Step 3: Cross multiply
    200.69x = 276.98 × 127.00
  4. Step 4: Simplify right side
    200.69x = 35,176.17
  5. Step 5: Solve for x
    x = 35,176.17/200.69
  6. Step 6: Final answer
    x = 175.28

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