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Finding the Fourth Proportional to 157.09, 216.26 and 135.13

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Solution

The fourth proportional to 157.09, 216.26 and 135.13 is: 186.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.09 : 216.26 = 135.13 : x
  2. Step 2: Convert to fraction form
    157.09/216.26 = 135.13/x
  3. Step 3: Cross multiply
    157.09x = 216.26 × 135.13
  4. Step 4: Simplify right side
    157.09x = 29,222.54
  5. Step 5: Solve for x
    x = 29,222.54/157.09
  6. Step 6: Final answer
    x = 186.02

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Why These Related Problems?

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