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Finding the Fourth Proportional to 218.51, 328.38 and 165.05

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Solution

The fourth proportional to 218.51, 328.38 and 165.05 is: 248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.51 : 328.38 = 165.05 : x
  2. Step 2: Convert to fraction form
    218.51/328.38 = 165.05/x
  3. Step 3: Cross multiply
    218.51x = 328.38 × 165.05
  4. Step 4: Simplify right side
    218.51x = 54,199.12
  5. Step 5: Solve for x
    x = 54,199.12/218.51
  6. Step 6: Final answer
    x = 248.04

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Why These Related Problems?

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