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Finding the Fourth Proportional to 212.31, 317.93 and 130.91

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Solution

The fourth proportional to 212.31, 317.93 and 130.91 is: 196.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.31 : 317.93 = 130.91 : x
  2. Step 2: Convert to fraction form
    212.31/317.93 = 130.91/x
  3. Step 3: Cross multiply
    212.31x = 317.93 × 130.91
  4. Step 4: Simplify right side
    212.31x = 41,617.97
  5. Step 5: Solve for x
    x = 41,617.97/212.31
  6. Step 6: Final answer
    x = 196.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.