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Finding the Fourth Proportional to 200.49, 276.48 and 156.75

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Solution

The fourth proportional to 200.49, 276.48 and 156.75 is: 216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.49 : 276.48 = 156.75 : x
  2. Step 2: Convert to fraction form
    200.49/276.48 = 156.75/x
  3. Step 3: Cross multiply
    200.49x = 276.48 × 156.75
  4. Step 4: Simplify right side
    200.49x = 43,338.24
  5. Step 5: Solve for x
    x = 43,338.24/200.49
  6. Step 6: Final answer
    x = 216.16

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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.