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Finding the Fourth Proportional to 507.56, 761.33 and 122.81

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Solution

The fourth proportional to 507.56, 761.33 and 122.81 is: 184.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.56 : 761.33 = 122.81 : x
  2. Step 2: Convert to fraction form
    507.56/761.33 = 122.81/x
  3. Step 3: Cross multiply
    507.56x = 761.33 × 122.81
  4. Step 4: Simplify right side
    507.56x = 93,497.58
  5. Step 5: Solve for x
    x = 93,497.58/507.56
  6. Step 6: Final answer
    x = 184.21

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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.