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Finding the Fourth Proportional to 507.85, 761.77 and 142.74

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Solution

The fourth proportional to 507.85, 761.77 and 142.74 is: 214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.85 : 761.77 = 142.74 : x
  2. Step 2: Convert to fraction form
    507.85/761.77 = 142.74/x
  3. Step 3: Cross multiply
    507.85x = 761.77 × 142.74
  4. Step 4: Simplify right side
    507.85x = 108,735.05
  5. Step 5: Solve for x
    x = 108,735.05/507.85
  6. Step 6: Final answer
    x = 214.11

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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.