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Finding the Fourth Proportional to 302.25, 452.77 and 139.71

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Solution

The fourth proportional to 302.25, 452.77 and 139.71 is: 209.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.25 : 452.77 = 139.71 : x
  2. Step 2: Convert to fraction form
    302.25/452.77 = 139.71/x
  3. Step 3: Cross multiply
    302.25x = 452.77 × 139.71
  4. Step 4: Simplify right side
    302.25x = 63,256.50
  5. Step 5: Solve for x
    x = 63,256.50/302.25
  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.