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Finding the Fourth Proportional to 157.22, 235.94 and 116.51

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Solution

The fourth proportional to 157.22, 235.94 and 116.51 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.22 : 235.94 = 116.51 : x
  2. Step 2: Convert to fraction form
    157.22/235.94 = 116.51/x
  3. Step 3: Cross multiply
    157.22x = 235.94 × 116.51
  4. Step 4: Simplify right side
    157.22x = 27,489.38
  5. Step 5: Solve for x
    x = 27,489.38/157.22
  6. Step 6: Final answer
    x = 174.85

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Why These Related Problems?

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