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Finding the Fourth Proportional to 313.64, 470.46 and 97.22

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Solution

The fourth proportional to 313.64, 470.46 and 97.22 is: 145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.64 : 470.46 = 97.22 : x
  2. Step 2: Convert to fraction form
    313.64/470.46 = 97.22/x
  3. Step 3: Cross multiply
    313.64x = 470.46 × 97.22
  4. Step 4: Simplify right side
    313.64x = 45,735.77
  5. Step 5: Solve for x
    x = 45,735.77/313.64
  6. Step 6: Final answer
    x = 145.82

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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.