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Finding the Fourth Proportional to 507.08, 760.25 and 160.22

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Solution

The fourth proportional to 507.08, 760.25 and 160.22 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.08 : 760.25 = 160.22 : x
  2. Step 2: Convert to fraction form
    507.08/760.25 = 160.22/x
  3. Step 3: Cross multiply
    507.08x = 760.25 × 160.22
  4. Step 4: Simplify right side
    507.08x = 121,809.56
  5. Step 5: Solve for x
    x = 121,809.56/507.08
  6. Step 6: Final answer
    x = 240.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.