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Finding the Fourth Proportional to 564.25, 846.38 and 199.10

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Solution

The fourth proportional to 564.25, 846.38 and 199.10 is: 298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.25 : 846.38 = 199.10 : x
  2. Step 2: Convert to fraction form
    564.25/846.38 = 199.10/x
  3. Step 3: Cross multiply
    564.25x = 846.38 × 199.10
  4. Step 4: Simplify right side
    564.25x = 168,514.26
  5. Step 5: Solve for x
    x = 168,514.26/564.25
  6. Step 6: Final answer
    x = 298.65

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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.