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Finding the Fourth Proportional to 157.67, 234.75 and 155.40

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Solution

The fourth proportional to 157.67, 234.75 and 155.40 is: 231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.67 : 234.75 = 155.40 : x
  2. Step 2: Convert to fraction form
    157.67/234.75 = 155.40/x
  3. Step 3: Cross multiply
    157.67x = 234.75 × 155.40
  4. Step 4: Simplify right side
    157.67x = 36,479.27
  5. Step 5: Solve for x
    x = 36,479.27/157.67
  6. Step 6: Final answer
    x = 231.36

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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.