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Finding the Fourth Proportional to 508.12, 762.19 and 142.93

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Solution

The fourth proportional to 508.12, 762.19 and 142.93 is: 214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.12 : 762.19 = 142.93 : x
  2. Step 2: Convert to fraction form
    508.12/762.19 = 142.93/x
  3. Step 3: Cross multiply
    508.12x = 762.19 × 142.93
  4. Step 4: Simplify right side
    508.12x = 108,935.29
  5. Step 5: Solve for x
    x = 108,935.29/508.12
  6. Step 6: Final answer
    x = 214.39

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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.