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Finding the Fourth Proportional to 314.33, 470.77 and 186.17

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Solution

The fourth proportional to 314.33, 470.77 and 186.17 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 470.77 = 186.17 : x
  2. Step 2: Convert to fraction form
    314.33/470.77 = 186.17/x
  3. Step 3: Cross multiply
    314.33x = 470.77 × 186.17
  4. Step 4: Simplify right side
    314.33x = 87,640.43
  5. Step 5: Solve for x
    x = 87,640.43/314.33
  6. Step 6: Final answer
    x = 278.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.