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Finding the Fourth Proportional to 200.54, 276.59 and 117.64

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Solution

The fourth proportional to 200.54, 276.59 and 117.64 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.54 : 276.59 = 117.64 : x
  2. Step 2: Convert to fraction form
    200.54/276.59 = 117.64/x
  3. Step 3: Cross multiply
    200.54x = 276.59 × 117.64
  4. Step 4: Simplify right side
    200.54x = 32,538.05
  5. Step 5: Solve for x
    x = 32,538.05/200.54
  6. Step 6: Final answer
    x = 162.25

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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.