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Finding the Fourth Proportional to 282.51, 389.75 and 199.49

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Solution

The fourth proportional to 282.51, 389.75 and 199.49 is: 275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.51 : 389.75 = 199.49 : x
  2. Step 2: Convert to fraction form
    282.51/389.75 = 199.49/x
  3. Step 3: Cross multiply
    282.51x = 389.75 × 199.49
  4. Step 4: Simplify right side
    282.51x = 77,748.28
  5. Step 5: Solve for x
    x = 77,748.28/282.51
  6. Step 6: Final answer
    x = 275.21

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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.