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Finding the Fourth Proportional to 194.70, 291.78 and 117.48

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Solution

The fourth proportional to 194.70, 291.78 and 117.48 is: 176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.70 : 291.78 = 117.48 : x
  2. Step 2: Convert to fraction form
    194.70/291.78 = 117.48/x
  3. Step 3: Cross multiply
    194.70x = 291.78 × 117.48
  4. Step 4: Simplify right side
    194.70x = 34,278.31
  5. Step 5: Solve for x
    x = 34,278.31/194.70
  6. Step 6: Final answer
    x = 176.06

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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.