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Finding the Fourth Proportional to 213.50, 294.69 and 189.02

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Solution

The fourth proportional to 213.50, 294.69 and 189.02 is: 260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.50 : 294.69 = 189.02 : x
  2. Step 2: Convert to fraction form
    213.50/294.69 = 189.02/x
  3. Step 3: Cross multiply
    213.50x = 294.69 × 189.02
  4. Step 4: Simplify right side
    213.50x = 55,702.30
  5. Step 5: Solve for x
    x = 55,702.30/213.50
  6. Step 6: Final answer
    x = 260.90

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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.