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Finding the Fourth Proportional to 176.64, 264.75 and 80.25

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Solution

The fourth proportional to 176.64, 264.75 and 80.25 is: 120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.64 : 264.75 = 80.25 : x
  2. Step 2: Convert to fraction form
    176.64/264.75 = 80.25/x
  3. Step 3: Cross multiply
    176.64x = 264.75 × 80.25
  4. Step 4: Simplify right side
    176.64x = 21,246.19
  5. Step 5: Solve for x
    x = 21,246.19/176.64
  6. Step 6: Final answer
    x = 120.28

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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.