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Finding the Fourth Proportional to 157.34, 234.84 and 134.34

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Solution

The fourth proportional to 157.34, 234.84 and 134.34 is: 200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.34 : 234.84 = 134.34 : x
  2. Step 2: Convert to fraction form
    157.34/234.84 = 134.34/x
  3. Step 3: Cross multiply
    157.34x = 234.84 × 134.34
  4. Step 4: Simplify right side
    157.34x = 31,548.41
  5. Step 5: Solve for x
    x = 31,548.41/157.34
  6. Step 6: Final answer
    x = 200.52

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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.