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Finding the Fourth Proportional to 219.18, 302.40 and 194.52

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Solution

The fourth proportional to 219.18, 302.40 and 194.52 is: 268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.18 : 302.40 = 194.52 : x
  2. Step 2: Convert to fraction form
    219.18/302.40 = 194.52/x
  3. Step 3: Cross multiply
    219.18x = 302.40 × 194.52
  4. Step 4: Simplify right side
    219.18x = 58,822.85
  5. Step 5: Solve for x
    x = 58,822.85/219.18
  6. Step 6: Final answer
    x = 268.38

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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.