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Finding the Fourth Proportional to 175.38, 264.44 and 161.02

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Solution

The fourth proportional to 175.38, 264.44 and 161.02 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.38 : 264.44 = 161.02 : x
  2. Step 2: Convert to fraction form
    175.38/264.44 = 161.02/x
  3. Step 3: Cross multiply
    175.38x = 264.44 × 161.02
  4. Step 4: Simplify right side
    175.38x = 42,580.13
  5. Step 5: Solve for x
    x = 42,580.13/175.38
  6. Step 6: Final answer
    x = 242.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.