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Finding the Fourth Proportional to 203.57, 280.63 and 145.25

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Solution

The fourth proportional to 203.57, 280.63 and 145.25 is: 200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.57 : 280.63 = 145.25 : x
  2. Step 2: Convert to fraction form
    203.57/280.63 = 145.25/x
  3. Step 3: Cross multiply
    203.57x = 280.63 × 145.25
  4. Step 4: Simplify right side
    203.57x = 40,761.51
  5. Step 5: Solve for x
    x = 40,761.51/203.57
  6. Step 6: Final answer
    x = 200.23

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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.