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Finding the Fourth Proportional to 302.12, 452.82 and 164.85

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Solution

The fourth proportional to 302.12, 452.82 and 164.85 is: 247.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.12 : 452.82 = 164.85 : x
  2. Step 2: Convert to fraction form
    302.12/452.82 = 164.85/x
  3. Step 3: Cross multiply
    302.12x = 452.82 × 164.85
  4. Step 4: Simplify right side
    302.12x = 74,647.38
  5. Step 5: Solve for x
    x = 74,647.38/302.12
  6. Step 6: Final answer
    x = 247.08

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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.