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Finding the Fourth Proportional to 285.30, 427.53 and 213.12

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Solution

The fourth proportional to 285.30, 427.53 and 213.12 is: 319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 427.53 = 213.12 : x
  2. Step 2: Convert to fraction form
    285.30/427.53 = 213.12/x
  3. Step 3: Cross multiply
    285.30x = 427.53 × 213.12
  4. Step 4: Simplify right side
    285.30x = 91,115.19
  5. Step 5: Solve for x
    x = 91,115.19/285.30
  6. Step 6: Final answer
    x = 319.37

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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.