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Finding the Fourth Proportional to 301.59, 451.71 and 138.78

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Solution

The fourth proportional to 301.59, 451.71 and 138.78 is: 207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 451.71 = 138.78 : x
  2. Step 2: Convert to fraction form
    301.59/451.71 = 138.78/x
  3. Step 3: Cross multiply
    301.59x = 451.71 × 138.78
  4. Step 4: Simplify right side
    301.59x = 62,688.31
  5. Step 5: Solve for x
    x = 62,688.31/301.59
  6. Step 6: Final answer
    x = 207.86

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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.