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Finding the Fourth Proportional to 200.52, 276.44 and 156.12

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Solution

The fourth proportional to 200.52, 276.44 and 156.12 is: 215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.52 : 276.44 = 156.12 : x
  2. Step 2: Convert to fraction form
    200.52/276.44 = 156.12/x
  3. Step 3: Cross multiply
    200.52x = 276.44 × 156.12
  4. Step 4: Simplify right side
    200.52x = 43,157.03
  5. Step 5: Solve for x
    x = 43,157.03/200.52
  6. Step 6: Final answer
    x = 215.23

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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.