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Finding the Fourth Proportional to 566.34, 849.52 and 155.45

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Solution

The fourth proportional to 566.34, 849.52 and 155.45 is: 233.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 849.52 = 155.45 : x
  2. Step 2: Convert to fraction form
    566.34/849.52 = 155.45/x
  3. Step 3: Cross multiply
    566.34x = 849.52 × 155.45
  4. Step 4: Simplify right side
    566.34x = 132,057.11
  5. Step 5: Solve for x
    x = 132,057.11/566.34
  6. Step 6: Final answer
    x = 233.18

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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.