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Finding the Fourth Proportional to 176.22, 243.06 and 106.25

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Solution

The fourth proportional to 176.22, 243.06 and 106.25 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 243.06 = 106.25 : x
  2. Step 2: Convert to fraction form
    176.22/243.06 = 106.25/x
  3. Step 3: Cross multiply
    176.22x = 243.06 × 106.25
  4. Step 4: Simplify right side
    176.22x = 25,823.91
  5. Step 5: Solve for x
    x = 25,823.91/176.22
  6. Step 6: Final answer
    x = 146.54

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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.