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Finding the Fourth Proportional to 282.27, 421.27 and 247.04

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Solution

The fourth proportional to 282.27, 421.27 and 247.04 is: 368.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.27 : 421.27 = 247.04 : x
  2. Step 2: Convert to fraction form
    282.27/421.27 = 247.04/x
  3. Step 3: Cross multiply
    282.27x = 421.27 × 247.04
  4. Step 4: Simplify right side
    282.27x = 104,070.54
  5. Step 5: Solve for x
    x = 104,070.54/282.27
  6. Step 6: Final answer
    x = 368.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.