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Finding the Fourth Proportional to 507.94, 761.83 and 142.76

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Solution

The fourth proportional to 507.94, 761.83 and 142.76 is: 214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.94 : 761.83 = 142.76 : x
  2. Step 2: Convert to fraction form
    507.94/761.83 = 142.76/x
  3. Step 3: Cross multiply
    507.94x = 761.83 × 142.76
  4. Step 4: Simplify right side
    507.94x = 108,760.40
  5. Step 5: Solve for x
    x = 108,760.40/507.94
  6. Step 6: Final answer
    x = 214.12

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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.