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Finding the Fourth Proportional to 435.40, 652.94 and 161.42

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Solution

The fourth proportional to 435.40, 652.94 and 161.42 is: 242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 652.94 = 161.42 : x
  2. Step 2: Convert to fraction form
    435.40/652.94 = 161.42/x
  3. Step 3: Cross multiply
    435.40x = 652.94 × 161.42
  4. Step 4: Simplify right side
    435.40x = 105,397.57
  5. Step 5: Solve for x
    x = 105,397.57/435.40
  6. Step 6: Final answer
    x = 242.07

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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.