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Finding the Fourth Proportional to 203.64, 280.94 and 116.30

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Solution

The fourth proportional to 203.64, 280.94 and 116.30 is: 160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.64 : 280.94 = 116.30 : x
  2. Step 2: Convert to fraction form
    203.64/280.94 = 116.30/x
  3. Step 3: Cross multiply
    203.64x = 280.94 × 116.30
  4. Step 4: Simplify right side
    203.64x = 32,673.32
  5. Step 5: Solve for x
    x = 32,673.32/203.64
  6. Step 6: Final answer
    x = 160.45

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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.