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Finding the Fourth Proportional to 165.80, 247.74 and 157.02

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Solution

The fourth proportional to 165.80, 247.74 and 157.02 is: 234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 247.74 = 157.02 : x
  2. Step 2: Convert to fraction form
    165.80/247.74 = 157.02/x
  3. Step 3: Cross multiply
    165.80x = 247.74 × 157.02
  4. Step 4: Simplify right side
    165.80x = 38,900.13
  5. Step 5: Solve for x
    x = 38,900.13/165.80
  6. Step 6: Final answer
    x = 234.63

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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.