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Finding the Fourth Proportional to 200.63, 276.52 and 178.01

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Solution

The fourth proportional to 200.63, 276.52 and 178.01 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.63 : 276.52 = 178.01 : x
  2. Step 2: Convert to fraction form
    200.63/276.52 = 178.01/x
  3. Step 3: Cross multiply
    200.63x = 276.52 × 178.01
  4. Step 4: Simplify right side
    200.63x = 49,223.33
  5. Step 5: Solve for x
    x = 49,223.33/200.63
  6. Step 6: Final answer
    x = 245.34

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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.