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Finding the Fourth Proportional to 157.44, 234.59 and 150.68

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Solution

The fourth proportional to 157.44, 234.59 and 150.68 is: 224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.44 : 234.59 = 150.68 : x
  2. Step 2: Convert to fraction form
    157.44/234.59 = 150.68/x
  3. Step 3: Cross multiply
    157.44x = 234.59 × 150.68
  4. Step 4: Simplify right side
    157.44x = 35,348.02
  5. Step 5: Solve for x
    x = 35,348.02/157.44
  6. Step 6: Final answer
    x = 224.52

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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.