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Finding the Fourth Proportional to 203.29, 280.59 and 137.95

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Solution

The fourth proportional to 203.29, 280.59 and 137.95 is: 190.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.29 : 280.59 = 137.95 : x
  2. Step 2: Convert to fraction form
    203.29/280.59 = 137.95/x
  3. Step 3: Cross multiply
    203.29x = 280.59 × 137.95
  4. Step 4: Simplify right side
    203.29x = 38,707.39
  5. Step 5: Solve for x
    x = 38,707.39/203.29
  6. Step 6: Final answer
    x = 190.40

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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.