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Finding the Fourth Proportional to 576.66, 864.87 and 186.70

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Solution

The fourth proportional to 576.66, 864.87 and 186.70 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.66 : 864.87 = 186.70 : x
  2. Step 2: Convert to fraction form
    576.66/864.87 = 186.70/x
  3. Step 3: Cross multiply
    576.66x = 864.87 × 186.70
  4. Step 4: Simplify right side
    576.66x = 161,465.97
  5. Step 5: Solve for x
    x = 161,465.97/576.66
  6. Step 6: Final answer
    x = 280.00

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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.