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Finding the Fourth Proportional to 194.16, 289.26 and 187.64

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Solution

The fourth proportional to 194.16, 289.26 and 187.64 is: 279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.16 : 289.26 = 187.64 : x
  2. Step 2: Convert to fraction form
    194.16/289.26 = 187.64/x
  3. Step 3: Cross multiply
    194.16x = 289.26 × 187.64
  4. Step 4: Simplify right side
    194.16x = 54,275.30
  5. Step 5: Solve for x
    x = 54,275.30/194.16
  6. Step 6: Final answer
    x = 279.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.