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Finding the Fourth Proportional to 302, 416.75 and 219.21

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Solution

The fourth proportional to 302, 416.75 and 219.21 is: 302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 416.75 = 219.21 : x
  2. Step 2: Convert to fraction form
    302/416.75 = 219.21/x
  3. Step 3: Cross multiply
    302x = 416.75 × 219.21
  4. Step 4: Simplify right side
    302x = 91,354.67
  5. Step 5: Solve for x
    x = 91,354.67/302
  6. Step 6: Final answer
    x = 302.50

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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.