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Finding the Fourth Proportional to 203.84, 305.64 and 75.60

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Solution

The fourth proportional to 203.84, 305.64 and 75.60 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.84 : 305.64 = 75.60 : x
  2. Step 2: Convert to fraction form
    203.84/305.64 = 75.60/x
  3. Step 3: Cross multiply
    203.84x = 305.64 × 75.60
  4. Step 4: Simplify right side
    203.84x = 23,106.38
  5. Step 5: Solve for x
    x = 23,106.38/203.84
  6. Step 6: Final answer
    x = 113.36

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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.