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Finding the Fourth Proportional to 435.72, 653.66 and 161.82

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Solution

The fourth proportional to 435.72, 653.66 and 161.82 is: 242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.72 : 653.66 = 161.82 : x
  2. Step 2: Convert to fraction form
    435.72/653.66 = 161.82/x
  3. Step 3: Cross multiply
    435.72x = 653.66 × 161.82
  4. Step 4: Simplify right side
    435.72x = 105,775.06
  5. Step 5: Solve for x
    x = 105,775.06/435.72
  6. Step 6: Final answer
    x = 242.76

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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.