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Finding the Fourth Proportional to 571.97, 858.08 and 176.66

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Solution

The fourth proportional to 571.97, 858.08 and 176.66 is: 265.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.97 : 858.08 = 176.66 : x
  2. Step 2: Convert to fraction form
    571.97/858.08 = 176.66/x
  3. Step 3: Cross multiply
    571.97x = 858.08 × 176.66
  4. Step 4: Simplify right side
    571.97x = 151,584.90
  5. Step 5: Solve for x
    x = 151,584.90/571.97
  6. Step 6: Final answer
    x = 265.02

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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.