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Finding the Fourth Proportional to 175.16, 262.64 and 106.82

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Solution

The fourth proportional to 175.16, 262.64 and 106.82 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.16 : 262.64 = 106.82 : x
  2. Step 2: Convert to fraction form
    175.16/262.64 = 106.82/x
  3. Step 3: Cross multiply
    175.16x = 262.64 × 106.82
  4. Step 4: Simplify right side
    175.16x = 28,055.14
  5. Step 5: Solve for x
    x = 28,055.14/175.16
  6. Step 6: Final answer
    x = 160.17

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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.