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Finding the Fourth Proportional to 549.14, 822.85 and 202.00

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Solution

The fourth proportional to 549.14, 822.85 and 202.00 is: 302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.14 : 822.85 = 202.00 : x
  2. Step 2: Convert to fraction form
    549.14/822.85 = 202.00/x
  3. Step 3: Cross multiply
    549.14x = 822.85 × 202.00
  4. Step 4: Simplify right side
    549.14x = 166,213.14
  5. Step 5: Solve for x
    x = 166,213.14/549.14
  6. Step 6: Final answer
    x = 302.68

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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.