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Finding the Fourth Proportional to 301.63, 452.78 and 139.31

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Solution

The fourth proportional to 301.63, 452.78 and 139.31 is: 209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.63 : 452.78 = 139.31 : x
  2. Step 2: Convert to fraction form
    301.63/452.78 = 139.31/x
  3. Step 3: Cross multiply
    301.63x = 452.78 × 139.31
  4. Step 4: Simplify right side
    301.63x = 63,073.82
  5. Step 5: Solve for x
    x = 63,073.82/301.63
  6. Step 6: Final answer
    x = 209.11

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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.