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Finding the Fourth Proportional to 157.41, 216.69 and 136.40

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Solution

The fourth proportional to 157.41, 216.69 and 136.40 is: 187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.41 : 216.69 = 136.40 : x
  2. Step 2: Convert to fraction form
    157.41/216.69 = 136.40/x
  3. Step 3: Cross multiply
    157.41x = 216.69 × 136.40
  4. Step 4: Simplify right side
    157.41x = 29,556.52
  5. Step 5: Solve for x
    x = 29,556.52/157.41
  6. Step 6: Final answer
    x = 187.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.