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Finding the Fourth Proportional to 213.03, 294.03 and 130.19

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Solution

The fourth proportional to 213.03, 294.03 and 130.19 is: 179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.03 : 294.03 = 130.19 : x
  2. Step 2: Convert to fraction form
    213.03/294.03 = 130.19/x
  3. Step 3: Cross multiply
    213.03x = 294.03 × 130.19
  4. Step 4: Simplify right side
    213.03x = 38,279.77
  5. Step 5: Solve for x
    x = 38,279.77/213.03
  6. Step 6: Final answer
    x = 179.70

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