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Finding the Fourth Proportional to 219.27, 302.82 and 186.47

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Solution

The fourth proportional to 219.27, 302.82 and 186.47 is: 257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.27 : 302.82 = 186.47 : x
  2. Step 2: Convert to fraction form
    219.27/302.82 = 186.47/x
  3. Step 3: Cross multiply
    219.27x = 302.82 × 186.47
  4. Step 4: Simplify right side
    219.27x = 56,465.33
  5. Step 5: Solve for x
    x = 56,465.33/219.27
  6. Step 6: Final answer
    x = 257.52

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