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Finding the Fourth Proportional to 200.35, 276.42 and 117.46

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Solution

The fourth proportional to 200.35, 276.42 and 117.46 is: 162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.35 : 276.42 = 117.46 : x
  2. Step 2: Convert to fraction form
    200.35/276.42 = 117.46/x
  3. Step 3: Cross multiply
    200.35x = 276.42 × 117.46
  4. Step 4: Simplify right side
    200.35x = 32,468.29
  5. Step 5: Solve for x
    x = 32,468.29/200.35
  6. Step 6: Final answer
    x = 162.06

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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.