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Finding the Fourth Proportional to 508.06, 762.02 and 142.84

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Solution

The fourth proportional to 508.06, 762.02 and 142.84 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.06 : 762.02 = 142.84 : x
  2. Step 2: Convert to fraction form
    508.06/762.02 = 142.84/x
  3. Step 3: Cross multiply
    508.06x = 762.02 × 142.84
  4. Step 4: Simplify right side
    508.06x = 108,846.94
  5. Step 5: Solve for x
    x = 108,846.94/508.06
  6. Step 6: Final answer
    x = 214.24

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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.