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Finding the Fourth Proportional to 542.85, 814.06 and 196.07

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Solution

The fourth proportional to 542.85, 814.06 and 196.07 is: 294.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.85 : 814.06 = 196.07 : x
  2. Step 2: Convert to fraction form
    542.85/814.06 = 196.07/x
  3. Step 3: Cross multiply
    542.85x = 814.06 × 196.07
  4. Step 4: Simplify right side
    542.85x = 159,612.74
  5. Step 5: Solve for x
    x = 159,612.74/542.85
  6. Step 6: Final answer
    x = 294.03

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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.