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Finding the Fourth Proportional to 566.97, 850.53 and 156.12

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Solution

The fourth proportional to 566.97, 850.53 and 156.12 is: 234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.97 : 850.53 = 156.12 : x
  2. Step 2: Convert to fraction form
    566.97/850.53 = 156.12/x
  3. Step 3: Cross multiply
    566.97x = 850.53 × 156.12
  4. Step 4: Simplify right side
    566.97x = 132,784.74
  5. Step 5: Solve for x
    x = 132,784.74/566.97
  6. Step 6: Final answer
    x = 234.20

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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.