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Finding the Fourth Proportional to 157.14, 234.09 and 153.90

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Solution

The fourth proportional to 157.14, 234.09 and 153.90 is: 229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.14 : 234.09 = 153.90 : x
  2. Step 2: Convert to fraction form
    157.14/234.09 = 153.90/x
  3. Step 3: Cross multiply
    157.14x = 234.09 × 153.90
  4. Step 4: Simplify right side
    157.14x = 36,026.45
  5. Step 5: Solve for x
    x = 36,026.45/157.14
  6. Step 6: Final answer
    x = 229.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.