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Finding the Fourth Proportional to 307.84, 462.30 and 186.34

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Solution

The fourth proportional to 307.84, 462.30 and 186.34 is: 279.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 462.30 = 186.34 : x
  2. Step 2: Convert to fraction form
    307.84/462.30 = 186.34/x
  3. Step 3: Cross multiply
    307.84x = 462.30 × 186.34
  4. Step 4: Simplify right side
    307.84x = 86,144.98
  5. Step 5: Solve for x
    x = 86,144.98/307.84
  6. Step 6: Final answer
    x = 279.84

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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.