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Finding the Fourth Proportional to 175.54, 263.08 and 161.86

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Solution

The fourth proportional to 175.54, 263.08 and 161.86 is: 242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.54 : 263.08 = 161.86 : x
  2. Step 2: Convert to fraction form
    175.54/263.08 = 161.86/x
  3. Step 3: Cross multiply
    175.54x = 263.08 × 161.86
  4. Step 4: Simplify right side
    175.54x = 42,582.13
  5. Step 5: Solve for x
    x = 42,582.13/175.54
  6. Step 6: Final answer
    x = 242.58

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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.