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Finding the Fourth Proportional to 219.37, 302.71 and 186.31

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Solution

The fourth proportional to 219.37, 302.71 and 186.31 is: 257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.37 : 302.71 = 186.31 : x
  2. Step 2: Convert to fraction form
    219.37/302.71 = 186.31/x
  3. Step 3: Cross multiply
    219.37x = 302.71 × 186.31
  4. Step 4: Simplify right side
    219.37x = 56,397.93
  5. Step 5: Solve for x
    x = 56,397.93/219.37
  6. Step 6: Final answer
    x = 257.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.