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Finding the Fourth Proportional to 212.84, 319.26 and 116.84

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Solution

The fourth proportional to 212.84, 319.26 and 116.84 is: 175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 319.26 = 116.84 : x
  2. Step 2: Convert to fraction form
    212.84/319.26 = 116.84/x
  3. Step 3: Cross multiply
    212.84x = 319.26 × 116.84
  4. Step 4: Simplify right side
    212.84x = 37,302.34
  5. Step 5: Solve for x
    x = 37,302.34/212.84
  6. Step 6: Final answer
    x = 175.26

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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.