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Finding the Fourth Proportional to 177.75, 245.23 and 111.32

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Solution

The fourth proportional to 177.75, 245.23 and 111.32 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.75 : 245.23 = 111.32 : x
  2. Step 2: Convert to fraction form
    177.75/245.23 = 111.32/x
  3. Step 3: Cross multiply
    177.75x = 245.23 × 111.32
  4. Step 4: Simplify right side
    177.75x = 27,299.00
  5. Step 5: Solve for x
    x = 27,299.00/177.75
  6. Step 6: Final answer
    x = 153.58

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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.