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Finding the Fourth Proportional to 169.76, 253.06 and 162.56

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Solution

The fourth proportional to 169.76, 253.06 and 162.56 is: 242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 253.06 = 162.56 : x
  2. Step 2: Convert to fraction form
    169.76/253.06 = 162.56/x
  3. Step 3: Cross multiply
    169.76x = 253.06 × 162.56
  4. Step 4: Simplify right side
    169.76x = 41,137.43
  5. Step 5: Solve for x
    x = 41,137.43/169.76
  6. Step 6: Final answer
    x = 242.33

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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.