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Finding the Fourth Proportional to 507.47, 761.22 and 160.83

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Solution

The fourth proportional to 507.47, 761.22 and 160.83 is: 241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.47 : 761.22 = 160.83 : x
  2. Step 2: Convert to fraction form
    507.47/761.22 = 160.83/x
  3. Step 3: Cross multiply
    507.47x = 761.22 × 160.83
  4. Step 4: Simplify right side
    507.47x = 122,427.01
  5. Step 5: Solve for x
    x = 122,427.01/507.47
  6. Step 6: Final answer
    x = 241.25

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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.