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Finding the Fourth Proportional to 314.13, 470.07 and 183.75

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Solution

The fourth proportional to 314.13, 470.07 and 183.75 is: 274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 470.07 = 183.75 : x
  2. Step 2: Convert to fraction form
    314.13/470.07 = 183.75/x
  3. Step 3: Cross multiply
    314.13x = 470.07 × 183.75
  4. Step 4: Simplify right side
    314.13x = 86,375.36
  5. Step 5: Solve for x
    x = 86,375.36/314.13
  6. Step 6: Final answer
    x = 274.97

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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.