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Finding the Fourth Proportional to 240.89, 332.25 and 158.09

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Solution

The fourth proportional to 240.89, 332.25 and 158.09 is: 218.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.89 : 332.25 = 158.09 : x
  2. Step 2: Convert to fraction form
    240.89/332.25 = 158.09/x
  3. Step 3: Cross multiply
    240.89x = 332.25 × 158.09
  4. Step 4: Simplify right side
    240.89x = 52,525.40
  5. Step 5: Solve for x
    x = 52,525.40/240.89
  6. Step 6: Final answer
    x = 218.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.