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Finding the Fourth Proportional to 368.27, 508.21 and 202.48

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Solution

The fourth proportional to 368.27, 508.21 and 202.48 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.27 : 508.21 = 202.48 : x
  2. Step 2: Convert to fraction form
    368.27/508.21 = 202.48/x
  3. Step 3: Cross multiply
    368.27x = 508.21 × 202.48
  4. Step 4: Simplify right side
    368.27x = 102,899.82
  5. Step 5: Solve for x
    x = 102,899.82/368.27
  6. Step 6: Final answer
    x = 279.42

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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.