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Finding the Fourth Proportional to 200.37, 276.52 and 117.48

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Solution

The fourth proportional to 200.37, 276.52 and 117.48 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.37 : 276.52 = 117.48 : x
  2. Step 2: Convert to fraction form
    200.37/276.52 = 117.48/x
  3. Step 3: Cross multiply
    200.37x = 276.52 × 117.48
  4. Step 4: Simplify right side
    200.37x = 32,485.66
  5. Step 5: Solve for x
    x = 32,485.66/200.37
  6. Step 6: Final answer
    x = 162.13

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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.