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Finding the Fourth Proportional to 313.61, 470.41 and 186.17

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Solution

The fourth proportional to 313.61, 470.41 and 186.17 is: 279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.61 : 470.41 = 186.17 : x
  2. Step 2: Convert to fraction form
    313.61/470.41 = 186.17/x
  3. Step 3: Cross multiply
    313.61x = 470.41 × 186.17
  4. Step 4: Simplify right side
    313.61x = 87,573.41
  5. Step 5: Solve for x
    x = 87,573.41/313.61
  6. Step 6: Final answer
    x = 279.25

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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.