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Finding the Fourth Proportional to 161.20, 240.57 and 157.08

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Solution

The fourth proportional to 161.20, 240.57 and 157.08 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 240.57 = 157.08 : x
  2. Step 2: Convert to fraction form
    161.20/240.57 = 157.08/x
  3. Step 3: Cross multiply
    161.20x = 240.57 × 157.08
  4. Step 4: Simplify right side
    161.20x = 37,788.74
  5. Step 5: Solve for x
    x = 37,788.74/161.20
  6. Step 6: Final answer
    x = 234.42

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Why These Related Problems?

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