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Finding the Fourth Proportional to 435.38, 653.33 and 178.88

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Solution

The fourth proportional to 435.38, 653.33 and 178.88 is: 268.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.38 : 653.33 = 178.88 : x
  2. Step 2: Convert to fraction form
    435.38/653.33 = 178.88/x
  3. Step 3: Cross multiply
    435.38x = 653.33 × 178.88
  4. Step 4: Simplify right side
    435.38x = 116,864.85
  5. Step 5: Solve for x
    x = 116,864.85/435.38
  6. Step 6: Final answer
    x = 268.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.