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Finding the Fourth Proportional to 301.48, 416.17 and 214.13

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Solution

The fourth proportional to 301.48, 416.17 and 214.13 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 416.17 = 214.13 : x
  2. Step 2: Convert to fraction form
    301.48/416.17 = 214.13/x
  3. Step 3: Cross multiply
    301.48x = 416.17 × 214.13
  4. Step 4: Simplify right side
    301.48x = 89,115.79
  5. Step 5: Solve for x
    x = 89,115.79/301.48
  6. Step 6: Final answer
    x = 295.60

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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.