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Finding the Fourth Proportional to 175.16, 241.58 and 165.85

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Solution

The fourth proportional to 175.16, 241.58 and 165.85 is: 228.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.16 : 241.58 = 165.85 : x
  2. Step 2: Convert to fraction form
    175.16/241.58 = 165.85/x
  3. Step 3: Cross multiply
    175.16x = 241.58 × 165.85
  4. Step 4: Simplify right side
    175.16x = 40,065.85
  5. Step 5: Solve for x
    x = 40,065.85/175.16
  6. Step 6: Final answer
    x = 228.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.