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Finding the Fourth Proportional to 566.54, 849.74 and 155.62

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Solution

The fourth proportional to 566.54, 849.74 and 155.62 is: 233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.54 : 849.74 = 155.62 : x
  2. Step 2: Convert to fraction form
    566.54/849.74 = 155.62/x
  3. Step 3: Cross multiply
    566.54x = 849.74 × 155.62
  4. Step 4: Simplify right side
    566.54x = 132,237.70
  5. Step 5: Solve for x
    x = 132,237.70/566.54
  6. Step 6: Final answer
    x = 233.41

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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.