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Finding the Fourth Proportional to 200.56, 276.77 and 117.69

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Solution

The fourth proportional to 200.56, 276.77 and 117.69 is: 162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.56 : 276.77 = 117.69 : x
  2. Step 2: Convert to fraction form
    200.56/276.77 = 117.69/x
  3. Step 3: Cross multiply
    200.56x = 276.77 × 117.69
  4. Step 4: Simplify right side
    200.56x = 32,573.06
  5. Step 5: Solve for x
    x = 32,573.06/200.56
  6. Step 6: Final answer
    x = 162.41

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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.