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Finding the Fourth Proportional to 238.42, 328.90 and 159.62

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Solution

The fourth proportional to 238.42, 328.90 and 159.62 is: 220.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.42 : 328.90 = 159.62 : x
  2. Step 2: Convert to fraction form
    238.42/328.90 = 159.62/x
  3. Step 3: Cross multiply
    238.42x = 328.90 × 159.62
  4. Step 4: Simplify right side
    238.42x = 52,499.02
  5. Step 5: Solve for x
    x = 52,499.02/238.42
  6. Step 6: Final answer
    x = 220.20

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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.