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Finding the Fourth Proportional to 507.32, 761 and 160.88

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Solution

The fourth proportional to 507.32, 761 and 160.88 is: 241.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.32 : 761 = 160.88 : x
  2. Step 2: Convert to fraction form
    507.32/761 = 160.88/x
  3. Step 3: Cross multiply
    507.32x = 761 × 160.88
  4. Step 4: Simplify right side
    507.32x = 122,429.68
  5. Step 5: Solve for x
    x = 122,429.68/507.32
  6. Step 6: Final answer
    x = 241.33

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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.