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Finding the Fourth Proportional to 314, 470.96 and 97.56

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Solution

The fourth proportional to 314, 470.96 and 97.56 is: 146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314 : 470.96 = 97.56 : x
  2. Step 2: Convert to fraction form
    314/470.96 = 97.56/x
  3. Step 3: Cross multiply
    314x = 470.96 × 97.56
  4. Step 4: Simplify right side
    314x = 45,946.86
  5. Step 5: Solve for x
    x = 45,946.86/314
  6. Step 6: Final answer
    x = 146.33

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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.