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Finding the Fourth Proportional to 157.12, 234.59 and 135.43

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Solution

The fourth proportional to 157.12, 234.59 and 135.43 is: 202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.12 : 234.59 = 135.43 : x
  2. Step 2: Convert to fraction form
    157.12/234.59 = 135.43/x
  3. Step 3: Cross multiply
    157.12x = 234.59 × 135.43
  4. Step 4: Simplify right side
    157.12x = 31,770.52
  5. Step 5: Solve for x
    x = 31,770.52/157.12
  6. Step 6: Final answer
    x = 202.21

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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.