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Finding the Fourth Proportional to 319.08, 440.18 and 202.68

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Solution

The fourth proportional to 319.08, 440.18 and 202.68 is: 279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.08 : 440.18 = 202.68 : x
  2. Step 2: Convert to fraction form
    319.08/440.18 = 202.68/x
  3. Step 3: Cross multiply
    319.08x = 440.18 × 202.68
  4. Step 4: Simplify right side
    319.08x = 89,215.68
  5. Step 5: Solve for x
    x = 89,215.68/319.08
  6. Step 6: Final answer
    x = 279.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.