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Finding the Fourth Proportional to 203.42, 305.19 and 100.77

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Solution

The fourth proportional to 203.42, 305.19 and 100.77 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.42 : 305.19 = 100.77 : x
  2. Step 2: Convert to fraction form
    203.42/305.19 = 100.77/x
  3. Step 3: Cross multiply
    203.42x = 305.19 × 100.77
  4. Step 4: Simplify right side
    203.42x = 30,754.00
  5. Step 5: Solve for x
    x = 30,754.00/203.42
  6. Step 6: Final answer
    x = 151.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.