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Finding the Fourth Proportional to 175.86, 264.24 and 168.66

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Solution

The fourth proportional to 175.86, 264.24 and 168.66 is: 253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.86 : 264.24 = 168.66 : x
  2. Step 2: Convert to fraction form
    175.86/264.24 = 168.66/x
  3. Step 3: Cross multiply
    175.86x = 264.24 × 168.66
  4. Step 4: Simplify right side
    175.86x = 44,566.72
  5. Step 5: Solve for x
    x = 44,566.72/175.86
  6. Step 6: Final answer
    x = 253.42

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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.