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Finding the Fourth Proportional to 212.98, 295.04 and 207.94

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Solution

The fourth proportional to 212.98, 295.04 and 207.94 is: 288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 295.04 = 207.94 : x
  2. Step 2: Convert to fraction form
    212.98/295.04 = 207.94/x
  3. Step 3: Cross multiply
    212.98x = 295.04 × 207.94
  4. Step 4: Simplify right side
    212.98x = 61,350.62
  5. Step 5: Solve for x
    x = 61,350.62/212.98
  6. Step 6: Final answer
    x = 288.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.