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Finding the Fourth Proportional to 194.40, 293.16 and 182.40

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Solution

The fourth proportional to 194.40, 293.16 and 182.40 is: 275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.40 : 293.16 = 182.40 : x
  2. Step 2: Convert to fraction form
    194.40/293.16 = 182.40/x
  3. Step 3: Cross multiply
    194.40x = 293.16 × 182.40
  4. Step 4: Simplify right side
    194.40x = 53,472.38
  5. Step 5: Solve for x
    x = 53,472.38/194.40
  6. Step 6: Final answer
    x = 275.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.