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Finding the Fourth Proportional to 193.14, 290.75 and 176.40

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Solution

The fourth proportional to 193.14, 290.75 and 176.40 is: 265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.14 : 290.75 = 176.40 : x
  2. Step 2: Convert to fraction form
    193.14/290.75 = 176.40/x
  3. Step 3: Cross multiply
    193.14x = 290.75 × 176.40
  4. Step 4: Simplify right side
    193.14x = 51,285.96
  5. Step 5: Solve for x
    x = 51,285.96/193.14
  6. Step 6: Final answer
    x = 265.54

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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.