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Finding the Fourth Proportional to 314.15, 470.47 and 159.67

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Solution

The fourth proportional to 314.15, 470.47 and 159.67 is: 239.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.15 : 470.47 = 159.67 : x
  2. Step 2: Convert to fraction form
    314.15/470.47 = 159.67/x
  3. Step 3: Cross multiply
    314.15x = 470.47 × 159.67
  4. Step 4: Simplify right side
    314.15x = 75,119.15
  5. Step 5: Solve for x
    x = 75,119.15/314.15
  6. Step 6: Final answer
    x = 239.12

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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.