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Finding the Fourth Proportional to 157.26, 234.75 and 153.66

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Solution

The fourth proportional to 157.26, 234.75 and 153.66 is: 229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.26 : 234.75 = 153.66 : x
  2. Step 2: Convert to fraction form
    157.26/234.75 = 153.66/x
  3. Step 3: Cross multiply
    157.26x = 234.75 × 153.66
  4. Step 4: Simplify right side
    157.26x = 36,071.69
  5. Step 5: Solve for x
    x = 36,071.69/157.26
  6. Step 6: Final answer
    x = 229.38

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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.