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Finding the Fourth Proportional to 157.14, 215.78 and 140.76

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Solution

The fourth proportional to 157.14, 215.78 and 140.76 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 215.78 = 140.76 : x
  2. Step 2: Convert to fraction form
    157.14/215.78 = 140.76/x
  3. Step 3: Cross multiply
    157.14x = 215.78 × 140.76
  4. Step 4: Simplify right side
    157.14x = 30,372.49
  5. Step 5: Solve for x
    x = 30,372.49/157.14
  6. Step 6: Final answer
    x = 193.28

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