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Finding the Fourth Proportional to 313.79, 470.51 and 146.83

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Solution

The fourth proportional to 313.79, 470.51 and 146.83 is: 220.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.79 : 470.51 = 146.83 : x
  2. Step 2: Convert to fraction form
    313.79/470.51 = 146.83/x
  3. Step 3: Cross multiply
    313.79x = 470.51 × 146.83
  4. Step 4: Simplify right side
    313.79x = 69,084.98
  5. Step 5: Solve for x
    x = 69,084.98/313.79
  6. Step 6: Final answer
    x = 220.16

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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.