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Finding the Fourth Proportional to 170.14, 253.77 and 165

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Solution

The fourth proportional to 170.14, 253.77 and 165 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.14 : 253.77 = 165 : x
  2. Step 2: Convert to fraction form
    170.14/253.77 = 165/x
  3. Step 3: Cross multiply
    170.14x = 253.77 × 165
  4. Step 4: Simplify right side
    170.14x = 41,872.05
  5. Step 5: Solve for x
    x = 41,872.05/170.14
  6. Step 6: Final answer
    x = 246.10

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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.