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Finding the Fourth Proportional to 301.60, 416.40 and 214.56

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Solution

The fourth proportional to 301.60, 416.40 and 214.56 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.60 : 416.40 = 214.56 : x
  2. Step 2: Convert to fraction form
    301.60/416.40 = 214.56/x
  3. Step 3: Cross multiply
    301.60x = 416.40 × 214.56
  4. Step 4: Simplify right side
    301.60x = 89,342.78
  5. Step 5: Solve for x
    x = 89,342.78/301.60
  6. Step 6: Final answer
    x = 296.23

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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.