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Finding the Fourth Proportional to 194.05, 291.06 and 78.35

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Solution

The fourth proportional to 194.05, 291.06 and 78.35 is: 117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.05 : 291.06 = 78.35 : x
  2. Step 2: Convert to fraction form
    194.05/291.06 = 78.35/x
  3. Step 3: Cross multiply
    194.05x = 291.06 × 78.35
  4. Step 4: Simplify right side
    194.05x = 22,804.89
  5. Step 5: Solve for x
    x = 22,804.89/194.05
  6. Step 6: Final answer
    x = 117.52

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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.