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Finding the Fourth Proportional to 435.29, 653.11 and 178.97

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Solution

The fourth proportional to 435.29, 653.11 and 178.97 is: 268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.29 : 653.11 = 178.97 : x
  2. Step 2: Convert to fraction form
    435.29/653.11 = 178.97/x
  3. Step 3: Cross multiply
    435.29x = 653.11 × 178.97
  4. Step 4: Simplify right side
    435.29x = 116,883.38
  5. Step 5: Solve for x
    x = 116,883.38/435.29
  6. Step 6: Final answer
    x = 268.52

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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.