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Finding the Fourth Proportional to 203.58, 280.94 and 115.07

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Solution

The fourth proportional to 203.58, 280.94 and 115.07 is: 158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.58 : 280.94 = 115.07 : x
  2. Step 2: Convert to fraction form
    203.58/280.94 = 115.07/x
  3. Step 3: Cross multiply
    203.58x = 280.94 × 115.07
  4. Step 4: Simplify right side
    203.58x = 32,327.77
  5. Step 5: Solve for x
    x = 32,327.77/203.58
  6. Step 6: Final answer
    x = 158.80

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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.