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Finding the Fourth Proportional to 175.13, 241.67 and 97.50

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Solution

The fourth proportional to 175.13, 241.67 and 97.50 is: 134.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.13 : 241.67 = 97.50 : x
  2. Step 2: Convert to fraction form
    175.13/241.67 = 97.50/x
  3. Step 3: Cross multiply
    175.13x = 241.67 × 97.50
  4. Step 4: Simplify right side
    175.13x = 23,563.07
  5. Step 5: Solve for x
    x = 23,563.07/175.13
  6. Step 6: Final answer
    x = 134.55

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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.