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Finding the Fourth Proportional to 436.02, 653.48 and 161.97

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Solution

The fourth proportional to 436.02, 653.48 and 161.97 is: 242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.02 : 653.48 = 161.97 : x
  2. Step 2: Convert to fraction form
    436.02/653.48 = 161.97/x
  3. Step 3: Cross multiply
    436.02x = 653.48 × 161.97
  4. Step 4: Simplify right side
    436.02x = 105,843.35
  5. Step 5: Solve for x
    x = 105,843.35/436.02
  6. Step 6: Final answer
    x = 242.75

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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.