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Finding the Fourth Proportional to 302.18, 452.25 and 186.71

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Solution

The fourth proportional to 302.18, 452.25 and 186.71 is: 279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.18 : 452.25 = 186.71 : x
  2. Step 2: Convert to fraction form
    302.18/452.25 = 186.71/x
  3. Step 3: Cross multiply
    302.18x = 452.25 × 186.71
  4. Step 4: Simplify right side
    302.18x = 84,437.34
  5. Step 5: Solve for x
    x = 84,437.34/302.18
  6. Step 6: Final answer
    x = 279.42

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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.