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Finding the Fourth Proportional to 314.10, 470.97 and 97.65

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Solution

The fourth proportional to 314.10, 470.97 and 97.65 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.10 : 470.97 = 97.65 : x
  2. Step 2: Convert to fraction form
    314.10/470.97 = 97.65/x
  3. Step 3: Cross multiply
    314.10x = 470.97 × 97.65
  4. Step 4: Simplify right side
    314.10x = 45,990.22
  5. Step 5: Solve for x
    x = 45,990.22/314.10
  6. Step 6: Final answer
    x = 146.42

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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.