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Finding the Fourth Proportional to 157.56, 236.54 and 133.66

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Solution

The fourth proportional to 157.56, 236.54 and 133.66 is: 200.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.56 : 236.54 = 133.66 : x
  2. Step 2: Convert to fraction form
    157.56/236.54 = 133.66/x
  3. Step 3: Cross multiply
    157.56x = 236.54 × 133.66
  4. Step 4: Simplify right side
    157.56x = 31,615.94
  5. Step 5: Solve for x
    x = 31,615.94/157.56
  6. Step 6: Final answer
    x = 200.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.