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Finding the Fourth Proportional to 176.12, 264.19 and 84.75

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Solution

The fourth proportional to 176.12, 264.19 and 84.75 is: 127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 264.19 = 84.75 : x
  2. Step 2: Convert to fraction form
    176.12/264.19 = 84.75/x
  3. Step 3: Cross multiply
    176.12x = 264.19 × 84.75
  4. Step 4: Simplify right side
    176.12x = 22,388.82
  5. Step 5: Solve for x
    x = 22,388.82/176.12
  6. Step 6: Final answer
    x = 127.12

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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.