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Finding the Fourth Proportional to 237.10, 326.82 and 159.34

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Solution

The fourth proportional to 237.10, 326.82 and 159.34 is: 219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.10 : 326.82 = 159.34 : x
  2. Step 2: Convert to fraction form
    237.10/326.82 = 159.34/x
  3. Step 3: Cross multiply
    237.10x = 326.82 × 159.34
  4. Step 4: Simplify right side
    237.10x = 52,075.50
  5. Step 5: Solve for x
    x = 52,075.50/237.10
  6. Step 6: Final answer
    x = 219.64

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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.