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Finding the Fourth Proportional to 507.64, 761.49 and 142.45

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Solution

The fourth proportional to 507.64, 761.49 and 142.45 is: 213.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.64 : 761.49 = 142.45 : x
  2. Step 2: Convert to fraction form
    507.64/761.49 = 142.45/x
  3. Step 3: Cross multiply
    507.64x = 761.49 × 142.45
  4. Step 4: Simplify right side
    507.64x = 108,474.25
  5. Step 5: Solve for x
    x = 108,474.25/507.64
  6. Step 6: Final answer
    x = 213.68

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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.