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Finding the Fourth Proportional to 566.83, 850.14 and 155.86

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Solution

The fourth proportional to 566.83, 850.14 and 155.86 is: 233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.83 : 850.14 = 155.86 : x
  2. Step 2: Convert to fraction form
    566.83/850.14 = 155.86/x
  3. Step 3: Cross multiply
    566.83x = 850.14 × 155.86
  4. Step 4: Simplify right side
    566.83x = 132,506.27
  5. Step 5: Solve for x
    x = 132,506.27/566.83
  6. Step 6: Final answer
    x = 233.77

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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.