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Finding the Fourth Proportional to 313.43, 470.07 and 148.80

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Solution

The fourth proportional to 313.43, 470.07 and 148.80 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.43 : 470.07 = 148.80 : x
  2. Step 2: Convert to fraction form
    313.43/470.07 = 148.80/x
  3. Step 3: Cross multiply
    313.43x = 470.07 × 148.80
  4. Step 4: Simplify right side
    313.43x = 69,945.53
  5. Step 5: Solve for x
    x = 69,945.53/313.43
  6. Step 6: Final answer
    x = 223.16

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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.