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Finding the Fourth Proportional to 203.45, 280.59 and 137.07

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Solution

The fourth proportional to 203.45, 280.59 and 137.07 is: 189.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.45 : 280.59 = 137.07 : x
  2. Step 2: Convert to fraction form
    203.45/280.59 = 137.07/x
  3. Step 3: Cross multiply
    203.45x = 280.59 × 137.07
  4. Step 4: Simplify right side
    203.45x = 38,460.47
  5. Step 5: Solve for x
    x = 38,460.47/203.45
  6. Step 6: Final answer
    x = 189.05

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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.