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Finding the Fourth Proportional to 282.45, 421.63 and 244.18

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Solution

The fourth proportional to 282.45, 421.63 and 244.18 is: 364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.45 : 421.63 = 244.18 : x
  2. Step 2: Convert to fraction form
    282.45/421.63 = 244.18/x
  3. Step 3: Cross multiply
    282.45x = 421.63 × 244.18
  4. Step 4: Simplify right side
    282.45x = 102,950.28
  5. Step 5: Solve for x
    x = 102,950.28/282.45
  6. Step 6: Final answer
    x = 364.49

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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.