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Finding the Fourth Proportional to 175.92, 241.08 and 158.64

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Solution

The fourth proportional to 175.92, 241.08 and 158.64 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 241.08 = 158.64 : x
  2. Step 2: Convert to fraction form
    175.92/241.08 = 158.64/x
  3. Step 3: Cross multiply
    175.92x = 241.08 × 158.64
  4. Step 4: Simplify right side
    175.92x = 38,244.93
  5. Step 5: Solve for x
    x = 38,244.93/175.92
  6. Step 6: Final answer
    x = 217.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.