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Finding the Fourth Proportional to 564.07, 846.13 and 153.21

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Solution

The fourth proportional to 564.07, 846.13 and 153.21 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.07 : 846.13 = 153.21 : x
  2. Step 2: Convert to fraction form
    564.07/846.13 = 153.21/x
  3. Step 3: Cross multiply
    564.07x = 846.13 × 153.21
  4. Step 4: Simplify right side
    564.07x = 129,635.58
  5. Step 5: Solve for x
    x = 129,635.58/564.07
  6. Step 6: Final answer
    x = 229.82

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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.