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Finding the Fourth Proportional to 313.72, 470.66 and 97.29

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Solution

The fourth proportional to 313.72, 470.66 and 97.29 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.72 : 470.66 = 97.29 : x
  2. Step 2: Convert to fraction form
    313.72/470.66 = 97.29/x
  3. Step 3: Cross multiply
    313.72x = 470.66 × 97.29
  4. Step 4: Simplify right side
    313.72x = 45,790.51
  5. Step 5: Solve for x
    x = 45,790.51/313.72
  6. Step 6: Final answer
    x = 145.96

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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.