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Finding the Fourth Proportional to 190.10, 261.66 and 177.04

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Solution

The fourth proportional to 190.10, 261.66 and 177.04 is: 243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.10 : 261.66 = 177.04 : x
  2. Step 2: Convert to fraction form
    190.10/261.66 = 177.04/x
  3. Step 3: Cross multiply
    190.10x = 261.66 × 177.04
  4. Step 4: Simplify right side
    190.10x = 46,324.29
  5. Step 5: Solve for x
    x = 46,324.29/190.10
  6. Step 6: Final answer
    x = 243.68

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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.