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Finding the Fourth Proportional to 218.08, 326.95 and 102.35

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Solution

The fourth proportional to 218.08, 326.95 and 102.35 is: 153.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.08 : 326.95 = 102.35 : x
  2. Step 2: Convert to fraction form
    218.08/326.95 = 102.35/x
  3. Step 3: Cross multiply
    218.08x = 326.95 × 102.35
  4. Step 4: Simplify right side
    218.08x = 33,463.33
  5. Step 5: Solve for x
    x = 33,463.33/218.08
  6. Step 6: Final answer
    x = 153.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.