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Finding the Fourth Proportional to 564.14, 846.22 and 153.28

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Solution

The fourth proportional to 564.14, 846.22 and 153.28 is: 229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.14 : 846.22 = 153.28 : x
  2. Step 2: Convert to fraction form
    564.14/846.22 = 153.28/x
  3. Step 3: Cross multiply
    564.14x = 846.22 × 153.28
  4. Step 4: Simplify right side
    564.14x = 129,703.60
  5. Step 5: Solve for x
    x = 129,703.60/564.14
  6. Step 6: Final answer
    x = 229.92

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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.