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Finding the Fourth Proportional to 176.18, 264.88 and 162.82

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Solution

The fourth proportional to 176.18, 264.88 and 162.82 is: 244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.18 : 264.88 = 162.82 : x
  2. Step 2: Convert to fraction form
    176.18/264.88 = 162.82/x
  3. Step 3: Cross multiply
    176.18x = 264.88 × 162.82
  4. Step 4: Simplify right side
    176.18x = 43,126.44
  5. Step 5: Solve for x
    x = 43,126.44/176.18
  6. Step 6: Final answer
    x = 244.79

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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.