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Finding the Fourth Proportional to 507.14, 760.85 and 160.49

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Solution

The fourth proportional to 507.14, 760.85 and 160.49 is: 240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.14 : 760.85 = 160.49 : x
  2. Step 2: Convert to fraction form
    507.14/760.85 = 160.49/x
  3. Step 3: Cross multiply
    507.14x = 760.85 × 160.49
  4. Step 4: Simplify right side
    507.14x = 122,111.12
  5. Step 5: Solve for x
    x = 122,111.12/507.14
  6. Step 6: Final answer
    x = 240.78

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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.