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Finding the Fourth Proportional to 203.74, 305.18 and 178.08

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Solution

The fourth proportional to 203.74, 305.18 and 178.08 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.74 : 305.18 = 178.08 : x
  2. Step 2: Convert to fraction form
    203.74/305.18 = 178.08/x
  3. Step 3: Cross multiply
    203.74x = 305.18 × 178.08
  4. Step 4: Simplify right side
    203.74x = 54,346.45
  5. Step 5: Solve for x
    x = 54,346.45/203.74
  6. Step 6: Final answer
    x = 266.74

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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.