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Finding the Fourth Proportional to 566.04, 849.12 and 155.22

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Solution

The fourth proportional to 566.04, 849.12 and 155.22 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.04 : 849.12 = 155.22 : x
  2. Step 2: Convert to fraction form
    566.04/849.12 = 155.22/x
  3. Step 3: Cross multiply
    566.04x = 849.12 × 155.22
  4. Step 4: Simplify right side
    566.04x = 131,800.41
  5. Step 5: Solve for x
    x = 131,800.41/566.04
  6. Step 6: Final answer
    x = 232.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.