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Finding the Fourth Proportional to 434.67, 652.10 and 142.10

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Solution

The fourth proportional to 434.67, 652.10 and 142.10 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.67 : 652.10 = 142.10 : x
  2. Step 2: Convert to fraction form
    434.67/652.10 = 142.10/x
  3. Step 3: Cross multiply
    434.67x = 652.10 × 142.10
  4. Step 4: Simplify right side
    434.67x = 92,659.44
  5. Step 5: Solve for x
    x = 92,659.44/434.67
  6. Step 6: Final answer
    x = 213.17

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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.