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Finding the Fourth Proportional to 257.63, 386.67 and 142.19

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Solution

The fourth proportional to 257.63, 386.67 and 142.19 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.63 : 386.67 = 142.19 : x
  2. Step 2: Convert to fraction form
    257.63/386.67 = 142.19/x
  3. Step 3: Cross multiply
    257.63x = 386.67 × 142.19
  4. Step 4: Simplify right side
    257.63x = 54,980.66
  5. Step 5: Solve for x
    x = 54,980.66/257.63
  6. Step 6: Final answer
    x = 213.41

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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.