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Finding the Fourth Proportional to 282.54, 425.27 and 214.40

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Solution

The fourth proportional to 282.54, 425.27 and 214.40 is: 322.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.54 : 425.27 = 214.40 : x
  2. Step 2: Convert to fraction form
    282.54/425.27 = 214.40/x
  3. Step 3: Cross multiply
    282.54x = 425.27 × 214.40
  4. Step 4: Simplify right side
    282.54x = 91,177.89
  5. Step 5: Solve for x
    x = 91,177.89/282.54
  6. Step 6: Final answer
    x = 322.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.