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Finding the Fourth Proportional to 203.66, 280.75 and 145.34

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Solution

The fourth proportional to 203.66, 280.75 and 145.34 is: 200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.66 : 280.75 = 145.34 : x
  2. Step 2: Convert to fraction form
    203.66/280.75 = 145.34/x
  3. Step 3: Cross multiply
    203.66x = 280.75 × 145.34
  4. Step 4: Simplify right side
    203.66x = 40,803.78
  5. Step 5: Solve for x
    x = 40,803.78/203.66
  6. Step 6: Final answer
    x = 200.36

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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.