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Finding the Fourth Proportional to 368.12, 507.99 and 202.33

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Solution

The fourth proportional to 368.12, 507.99 and 202.33 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.12 : 507.99 = 202.33 : x
  2. Step 2: Convert to fraction form
    368.12/507.99 = 202.33/x
  3. Step 3: Cross multiply
    368.12x = 507.99 × 202.33
  4. Step 4: Simplify right side
    368.12x = 102,781.62
  5. Step 5: Solve for x
    x = 102,781.62/368.12
  6. Step 6: Final answer
    x = 279.21

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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.