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Finding the Fourth Proportional to 313.65, 470.49 and 97.24

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Solution

The fourth proportional to 313.65, 470.49 and 97.24 is: 145.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.65 : 470.49 = 97.24 : x
  2. Step 2: Convert to fraction form
    313.65/470.49 = 97.24/x
  3. Step 3: Cross multiply
    313.65x = 470.49 × 97.24
  4. Step 4: Simplify right side
    313.65x = 45,750.45
  5. Step 5: Solve for x
    x = 45,750.45/313.65
  6. Step 6: Final answer
    x = 145.86

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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.