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Finding the Fourth Proportional to 508.54, 762.67 and 143.24

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Solution

The fourth proportional to 508.54, 762.67 and 143.24 is: 214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.54 : 762.67 = 143.24 : x
  2. Step 2: Convert to fraction form
    508.54/762.67 = 143.24/x
  3. Step 3: Cross multiply
    508.54x = 762.67 × 143.24
  4. Step 4: Simplify right side
    508.54x = 109,245.51
  5. Step 5: Solve for x
    x = 109,245.51/508.54
  6. Step 6: Final answer
    x = 214.82

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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.