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Finding the Fourth Proportional to 566.09, 849.06 and 155.23

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Solution

The fourth proportional to 566.09, 849.06 and 155.23 is: 232.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.09 : 849.06 = 155.23 : x
  2. Step 2: Convert to fraction form
    566.09/849.06 = 155.23/x
  3. Step 3: Cross multiply
    566.09x = 849.06 × 155.23
  4. Step 4: Simplify right side
    566.09x = 131,799.58
  5. Step 5: Solve for x
    x = 131,799.58/566.09
  6. Step 6: Final answer
    x = 232.82

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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.