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Finding the Fourth Proportional to 200.30, 276.47 and 117.41

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Solution

The fourth proportional to 200.30, 276.47 and 117.41 is: 162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 276.47 = 117.41 : x
  2. Step 2: Convert to fraction form
    200.30/276.47 = 117.41/x
  3. Step 3: Cross multiply
    200.30x = 276.47 × 117.41
  4. Step 4: Simplify right side
    200.30x = 32,458.37
  5. Step 5: Solve for x
    x = 32,458.37/200.30
  6. Step 6: Final answer
    x = 162.05

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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.