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Finding the Fourth Proportional to 177.33, 265.59 and 112.33

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Solution

The fourth proportional to 177.33, 265.59 and 112.33 is: 168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.33 : 265.59 = 112.33 : x
  2. Step 2: Convert to fraction form
    177.33/265.59 = 112.33/x
  3. Step 3: Cross multiply
    177.33x = 265.59 × 112.33
  4. Step 4: Simplify right side
    177.33x = 29,833.06
  5. Step 5: Solve for x
    x = 29,833.06/177.33
  6. Step 6: Final answer
    x = 168.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.