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Finding the Fourth Proportional to 192.40, 286.91 and 177.44

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Solution

The fourth proportional to 192.40, 286.91 and 177.44 is: 264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.40 : 286.91 = 177.44 : x
  2. Step 2: Convert to fraction form
    192.40/286.91 = 177.44/x
  3. Step 3: Cross multiply
    192.40x = 286.91 × 177.44
  4. Step 4: Simplify right side
    192.40x = 50,909.31
  5. Step 5: Solve for x
    x = 50,909.31/192.40
  6. Step 6: Final answer
    x = 264.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.