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Finding the Fourth Proportional to 194.53, 268.14 and 178.64

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Solution

The fourth proportional to 194.53, 268.14 and 178.64 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.53 : 268.14 = 178.64 : x
  2. Step 2: Convert to fraction form
    194.53/268.14 = 178.64/x
  3. Step 3: Cross multiply
    194.53x = 268.14 × 178.64
  4. Step 4: Simplify right side
    194.53x = 47,900.53
  5. Step 5: Solve for x
    x = 47,900.53/194.53
  6. Step 6: Final answer
    x = 246.24

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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.