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Finding the Fourth Proportional to 268.82, 370.96 and 165.32

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Solution

The fourth proportional to 268.82, 370.96 and 165.32 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.82 : 370.96 = 165.32 : x
  2. Step 2: Convert to fraction form
    268.82/370.96 = 165.32/x
  3. Step 3: Cross multiply
    268.82x = 370.96 × 165.32
  4. Step 4: Simplify right side
    268.82x = 61,327.11
  5. Step 5: Solve for x
    x = 61,327.11/268.82
  6. Step 6: Final answer
    x = 228.13

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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.