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Finding the Fourth Proportional to 213.61, 294.80 and 119.10

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Solution

The fourth proportional to 213.61, 294.80 and 119.10 is: 164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.61 : 294.80 = 119.10 : x
  2. Step 2: Convert to fraction form
    213.61/294.80 = 119.10/x
  3. Step 3: Cross multiply
    213.61x = 294.80 × 119.10
  4. Step 4: Simplify right side
    213.61x = 35,109.79
  5. Step 5: Solve for x
    x = 35,109.79/213.61
  6. Step 6: Final answer
    x = 164.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.