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Finding the Fourth Proportional to 165.14, 245.99 and 157.24

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Solution

The fourth proportional to 165.14, 245.99 and 157.24 is: 234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.14 : 245.99 = 157.24 : x
  2. Step 2: Convert to fraction form
    165.14/245.99 = 157.24/x
  3. Step 3: Cross multiply
    165.14x = 245.99 × 157.24
  4. Step 4: Simplify right side
    165.14x = 38,679.28
  5. Step 5: Solve for x
    x = 38,679.28/165.14
  6. Step 6: Final answer
    x = 234.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.