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Finding the Fourth Proportional to 175.79, 242.16 and 164.45

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Solution

The fourth proportional to 175.79, 242.16 and 164.45 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.79 : 242.16 = 164.45 : x
  2. Step 2: Convert to fraction form
    175.79/242.16 = 164.45/x
  3. Step 3: Cross multiply
    175.79x = 242.16 × 164.45
  4. Step 4: Simplify right side
    175.79x = 39,823.20
  5. Step 5: Solve for x
    x = 39,823.20/175.79
  6. Step 6: Final answer
    x = 226.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.