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Finding the Fourth Proportional to 212.84, 317.74 and 180.44

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Solution

The fourth proportional to 212.84, 317.74 and 180.44 is: 269.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.84 : 317.74 = 180.44 : x
  2. Step 2: Convert to fraction form
    212.84/317.74 = 180.44/x
  3. Step 3: Cross multiply
    212.84x = 317.74 × 180.44
  4. Step 4: Simplify right side
    212.84x = 57,333.01
  5. Step 5: Solve for x
    x = 57,333.01/212.84
  6. Step 6: Final answer
    x = 269.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.