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Finding the Fourth Proportional to 302.36, 452.48 and 186.78

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Solution

The fourth proportional to 302.36, 452.48 and 186.78 is: 279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.36 : 452.48 = 186.78 : x
  2. Step 2: Convert to fraction form
    302.36/452.48 = 186.78/x
  3. Step 3: Cross multiply
    302.36x = 452.48 × 186.78
  4. Step 4: Simplify right side
    302.36x = 84,514.21
  5. Step 5: Solve for x
    x = 84,514.21/302.36
  6. Step 6: Final answer
    x = 279.52

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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.