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Finding the Fourth Proportional to 237.98, 357.14 and 160.76

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Solution

The fourth proportional to 237.98, 357.14 and 160.76 is: 241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.98 : 357.14 = 160.76 : x
  2. Step 2: Convert to fraction form
    237.98/357.14 = 160.76/x
  3. Step 3: Cross multiply
    237.98x = 357.14 × 160.76
  4. Step 4: Simplify right side
    237.98x = 57,412.44
  5. Step 5: Solve for x
    x = 57,412.44/237.98
  6. Step 6: Final answer
    x = 241.25

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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.