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Finding the Fourth Proportional to 176.11, 264.43 and 164.84

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Solution

The fourth proportional to 176.11, 264.43 and 164.84 is: 247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.11 : 264.43 = 164.84 : x
  2. Step 2: Convert to fraction form
    176.11/264.43 = 164.84/x
  3. Step 3: Cross multiply
    176.11x = 264.43 × 164.84
  4. Step 4: Simplify right side
    176.11x = 43,587.53
  5. Step 5: Solve for x
    x = 43,587.53/176.11
  6. Step 6: Final answer
    x = 247.51

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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.