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Finding the Fourth Proportional to 507.86, 761.80 and 161.20

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Solution

The fourth proportional to 507.86, 761.80 and 161.20 is: 241.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.86 : 761.80 = 161.20 : x
  2. Step 2: Convert to fraction form
    507.86/761.80 = 161.20/x
  3. Step 3: Cross multiply
    507.86x = 761.80 × 161.20
  4. Step 4: Simplify right side
    507.86x = 122,802.16
  5. Step 5: Solve for x
    x = 122,802.16/507.86
  6. Step 6: Final answer
    x = 241.80

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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.