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Finding the Fourth Proportional to 368.21, 508.13 and 202.43

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Solution

The fourth proportional to 368.21, 508.13 and 202.43 is: 279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.21 : 508.13 = 202.43 : x
  2. Step 2: Convert to fraction form
    368.21/508.13 = 202.43/x
  3. Step 3: Cross multiply
    368.21x = 508.13 × 202.43
  4. Step 4: Simplify right side
    368.21x = 102,857.20
  5. Step 5: Solve for x
    x = 102,857.20/368.21
  6. Step 6: Final answer
    x = 279.35

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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.