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Finding the Fourth Proportional to 314.26, 470.96 and 149.70

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Solution

The fourth proportional to 314.26, 470.96 and 149.70 is: 224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 470.96 = 149.70 : x
  2. Step 2: Convert to fraction form
    314.26/470.96 = 149.70/x
  3. Step 3: Cross multiply
    314.26x = 470.96 × 149.70
  4. Step 4: Simplify right side
    314.26x = 70,501.96
  5. Step 5: Solve for x
    x = 70,501.96/314.26
  6. Step 6: Final answer
    x = 224.35

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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.