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Finding the Fourth Proportional to 213.67, 294.68 and 130.75

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Solution

The fourth proportional to 213.67, 294.68 and 130.75 is: 180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.67 : 294.68 = 130.75 : x
  2. Step 2: Convert to fraction form
    213.67/294.68 = 130.75/x
  3. Step 3: Cross multiply
    213.67x = 294.68 × 130.75
  4. Step 4: Simplify right side
    213.67x = 38,529.00
  5. Step 5: Solve for x
    x = 38,529.00/213.67
  6. Step 6: Final answer
    x = 180.32

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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.