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Finding the Fourth Proportional to 237.16, 353.84 and 218.98

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Solution

The fourth proportional to 237.16, 353.84 and 218.98 is: 326.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.16 : 353.84 = 218.98 : x
  2. Step 2: Convert to fraction form
    237.16/353.84 = 218.98/x
  3. Step 3: Cross multiply
    237.16x = 353.84 × 218.98
  4. Step 4: Simplify right side
    237.16x = 77,483.88
  5. Step 5: Solve for x
    x = 77,483.88/237.16
  6. Step 6: Final answer
    x = 326.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.