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Finding the Fourth Proportional to 434.53, 652.09 and 160.84

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Solution

The fourth proportional to 434.53, 652.09 and 160.84 is: 241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.53 : 652.09 = 160.84 : x
  2. Step 2: Convert to fraction form
    434.53/652.09 = 160.84/x
  3. Step 3: Cross multiply
    434.53x = 652.09 × 160.84
  4. Step 4: Simplify right side
    434.53x = 104,882.16
  5. Step 5: Solve for x
    x = 104,882.16/434.53
  6. Step 6: Final answer
    x = 241.37

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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.