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Finding the Fourth Proportional to 335.18, 462.65 and 210.80

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Solution

The fourth proportional to 335.18, 462.65 and 210.80 is: 290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.18 : 462.65 = 210.80 : x
  2. Step 2: Convert to fraction form
    335.18/462.65 = 210.80/x
  3. Step 3: Cross multiply
    335.18x = 462.65 × 210.80
  4. Step 4: Simplify right side
    335.18x = 97,523.25
  5. Step 5: Solve for x
    x = 97,523.25/335.18
  6. Step 6: Final answer
    x = 290.96

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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.