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Finding the Fourth Proportional to 368.05, 507.91 and 202.26

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Solution

The fourth proportional to 368.05, 507.91 and 202.26 is: 279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.05 : 507.91 = 202.26 : x
  2. Step 2: Convert to fraction form
    368.05/507.91 = 202.26/x
  3. Step 3: Cross multiply
    368.05x = 507.91 × 202.26
  4. Step 4: Simplify right side
    368.05x = 102,732.22
  5. Step 5: Solve for x
    x = 102,732.22/368.05
  6. Step 6: Final answer
    x = 279.12

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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.