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Finding the Fourth Proportional to 302, 416.62 and 214.72

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Solution

The fourth proportional to 302, 416.62 and 214.72 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302 : 416.62 = 214.72 : x
  2. Step 2: Convert to fraction form
    302/416.62 = 214.72/x
  3. Step 3: Cross multiply
    302x = 416.62 × 214.72
  4. Step 4: Simplify right side
    302x = 89,456.65
  5. Step 5: Solve for x
    x = 89,456.65/302
  6. Step 6: Final answer
    x = 296.21

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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.