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Finding the Fourth Proportional to 313.19, 470.14 and 183.34

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Solution

The fourth proportional to 313.19, 470.14 and 183.34 is: 275.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.19 : 470.14 = 183.34 : x
  2. Step 2: Convert to fraction form
    313.19/470.14 = 183.34/x
  3. Step 3: Cross multiply
    313.19x = 470.14 × 183.34
  4. Step 4: Simplify right side
    313.19x = 86,195.60
  5. Step 5: Solve for x
    x = 86,195.60/313.19
  6. Step 6: Final answer
    x = 275.22

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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.