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Finding the Fourth Proportional to 213.08, 293.93 and 130.14

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Solution

The fourth proportional to 213.08, 293.93 and 130.14 is: 179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.08 : 293.93 = 130.14 : x
  2. Step 2: Convert to fraction form
    213.08/293.93 = 130.14/x
  3. Step 3: Cross multiply
    213.08x = 293.93 × 130.14
  4. Step 4: Simplify right side
    213.08x = 38,252.05
  5. Step 5: Solve for x
    x = 38,252.05/213.08
  6. Step 6: Final answer
    x = 179.52

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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.