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Finding the Fourth Proportional to 217.34, 324.14 and 185.05

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Solution

The fourth proportional to 217.34, 324.14 and 185.05 is: 275.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.34 : 324.14 = 185.05 : x
  2. Step 2: Convert to fraction form
    217.34/324.14 = 185.05/x
  3. Step 3: Cross multiply
    217.34x = 324.14 × 185.05
  4. Step 4: Simplify right side
    217.34x = 59,980.49
  5. Step 5: Solve for x
    x = 59,980.49/217.34
  6. Step 6: Final answer
    x = 275.98

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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.