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Finding the Fourth Proportional to 194.10, 292.61 and 182.35

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Solution

The fourth proportional to 194.10, 292.61 and 182.35 is: 274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.10 : 292.61 = 182.35 : x
  2. Step 2: Convert to fraction form
    194.10/292.61 = 182.35/x
  3. Step 3: Cross multiply
    194.10x = 292.61 × 182.35
  4. Step 4: Simplify right side
    194.10x = 53,358.26
  5. Step 5: Solve for x
    x = 53,358.26/194.10
  6. Step 6: Final answer
    x = 274.91

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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.