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Finding the Fourth Proportional to 203.60, 305.40 and 100.90

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Solution

The fourth proportional to 203.60, 305.40 and 100.90 is: 151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.60 : 305.40 = 100.90 : x
  2. Step 2: Convert to fraction form
    203.60/305.40 = 100.90/x
  3. Step 3: Cross multiply
    203.60x = 305.40 × 100.90
  4. Step 4: Simplify right side
    203.60x = 30,814.86
  5. Step 5: Solve for x
    x = 30,814.86/203.60
  6. Step 6: Final answer
    x = 151.35

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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.