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Finding the Fourth Proportional to 302.45, 453.31 and 139.78

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Solution

The fourth proportional to 302.45, 453.31 and 139.78 is: 209.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.45 : 453.31 = 139.78 : x
  2. Step 2: Convert to fraction form
    302.45/453.31 = 139.78/x
  3. Step 3: Cross multiply
    302.45x = 453.31 × 139.78
  4. Step 4: Simplify right side
    302.45x = 63,363.89
  5. Step 5: Solve for x
    x = 63,363.89/302.45
  6. Step 6: Final answer
    x = 209.51

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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.