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Finding the Fourth Proportional to 176.12, 264.14 and 83.51

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Solution

The fourth proportional to 176.12, 264.14 and 83.51 is: 125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.12 : 264.14 = 83.51 : x
  2. Step 2: Convert to fraction form
    176.12/264.14 = 83.51/x
  3. Step 3: Cross multiply
    176.12x = 264.14 × 83.51
  4. Step 4: Simplify right side
    176.12x = 22,057.91
  5. Step 5: Solve for x
    x = 22,057.91/176.12
  6. Step 6: Final answer
    x = 125.25

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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.