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Finding the Fourth Proportional to 507.38, 761.24 and 160.77

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Solution

The fourth proportional to 507.38, 761.24 and 160.77 is: 241.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.38 : 761.24 = 160.77 : x
  2. Step 2: Convert to fraction form
    507.38/761.24 = 160.77/x
  3. Step 3: Cross multiply
    507.38x = 761.24 × 160.77
  4. Step 4: Simplify right side
    507.38x = 122,384.55
  5. Step 5: Solve for x
    x = 122,384.55/507.38
  6. Step 6: Final answer
    x = 241.21

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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.