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Finding the Fourth Proportional to 193.26, 291.09 and 176.61

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Solution

The fourth proportional to 193.26, 291.09 and 176.61 is: 266.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.26 : 291.09 = 176.61 : x
  2. Step 2: Convert to fraction form
    193.26/291.09 = 176.61/x
  3. Step 3: Cross multiply
    193.26x = 291.09 × 176.61
  4. Step 4: Simplify right side
    193.26x = 51,409.40
  5. Step 5: Solve for x
    x = 51,409.40/193.26
  6. Step 6: Final answer
    x = 266.01

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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.