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Finding the Fourth Proportional to 407.23, 610.57 and 160.41

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Solution

The fourth proportional to 407.23, 610.57 and 160.41 is: 240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.23 : 610.57 = 160.41 : x
  2. Step 2: Convert to fraction form
    407.23/610.57 = 160.41/x
  3. Step 3: Cross multiply
    407.23x = 610.57 × 160.41
  4. Step 4: Simplify right side
    407.23x = 97,944.02
  5. Step 5: Solve for x
    x = 97,944.02/407.23
  6. Step 6: Final answer
    x = 240.51

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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.