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Finding the Fourth Proportional to 368.11, 507.97 and 202.29

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Solution

The fourth proportional to 368.11, 507.97 and 202.29 is: 279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.11 : 507.97 = 202.29 : x
  2. Step 2: Convert to fraction form
    368.11/507.97 = 202.29/x
  3. Step 3: Cross multiply
    368.11x = 507.97 × 202.29
  4. Step 4: Simplify right side
    368.11x = 102,757.50
  5. Step 5: Solve for x
    x = 102,757.50/368.11
  6. Step 6: Final answer
    x = 279.15

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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.