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Finding the Fourth Proportional to 193.13, 290.84 and 175.85

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Solution

The fourth proportional to 193.13, 290.84 and 175.85 is: 264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.13 : 290.84 = 175.85 : x
  2. Step 2: Convert to fraction form
    193.13/290.84 = 175.85/x
  3. Step 3: Cross multiply
    193.13x = 290.84 × 175.85
  4. Step 4: Simplify right side
    193.13x = 51,143.42
  5. Step 5: Solve for x
    x = 51,143.42/193.13
  6. Step 6: Final answer
    x = 264.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.