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Finding the Fourth Proportional to 302.23, 452.71 and 180.43

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Solution

The fourth proportional to 302.23, 452.71 and 180.43 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.23 : 452.71 = 180.43 : x
  2. Step 2: Convert to fraction form
    302.23/452.71 = 180.43/x
  3. Step 3: Cross multiply
    302.23x = 452.71 × 180.43
  4. Step 4: Simplify right side
    302.23x = 81,681.33
  5. Step 5: Solve for x
    x = 81,681.33/302.23
  6. Step 6: Final answer
    x = 270.26

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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.