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Finding the Fourth Proportional to 302.26, 452.76 and 139.72

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Solution

The fourth proportional to 302.26, 452.76 and 139.72 is: 209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.26 : 452.76 = 139.72 : x
  2. Step 2: Convert to fraction form
    302.26/452.76 = 139.72/x
  3. Step 3: Cross multiply
    302.26x = 452.76 × 139.72
  4. Step 4: Simplify right side
    302.26x = 63,259.63
  5. Step 5: Solve for x
    x = 63,259.63/302.26
  6. Step 6: Final answer
    x = 209.29

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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.