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Finding the Fourth Proportional to 282.26, 420.94 and 245.90

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Solution

The fourth proportional to 282.26, 420.94 and 245.90 is: 366.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 420.94 = 245.90 : x
  2. Step 2: Convert to fraction form
    282.26/420.94 = 245.90/x
  3. Step 3: Cross multiply
    282.26x = 420.94 × 245.90
  4. Step 4: Simplify right side
    282.26x = 103,509.15
  5. Step 5: Solve for x
    x = 103,509.15/282.26
  6. Step 6: Final answer
    x = 366.72

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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.