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Finding the Fourth Proportional to 213, 293.94 and 119.74

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Solution

The fourth proportional to 213, 293.94 and 119.74 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213 : 293.94 = 119.74 : x
  2. Step 2: Convert to fraction form
    213/293.94 = 119.74/x
  3. Step 3: Cross multiply
    213x = 293.94 × 119.74
  4. Step 4: Simplify right side
    213x = 35,196.74
  5. Step 5: Solve for x
    x = 35,196.74/213
  6. Step 6: Final answer
    x = 165.24

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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.