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Finding the Fourth Proportional to 157.34, 215.96 and 139.46

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Solution

The fourth proportional to 157.34, 215.96 and 139.46 is: 191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.34 : 215.96 = 139.46 : x
  2. Step 2: Convert to fraction form
    157.34/215.96 = 139.46/x
  3. Step 3: Cross multiply
    157.34x = 215.96 × 139.46
  4. Step 4: Simplify right side
    157.34x = 30,117.34
  5. Step 5: Solve for x
    x = 30,117.34/157.34
  6. Step 6: Final answer
    x = 191.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.