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Finding the Fourth Proportional to 313.51, 470.08 and 120.91

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Solution

The fourth proportional to 313.51, 470.08 and 120.91 is: 181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.51 : 470.08 = 120.91 : x
  2. Step 2: Convert to fraction form
    313.51/470.08 = 120.91/x
  3. Step 3: Cross multiply
    313.51x = 470.08 × 120.91
  4. Step 4: Simplify right side
    313.51x = 56,837.37
  5. Step 5: Solve for x
    x = 56,837.37/313.51
  6. Step 6: Final answer
    x = 181.29

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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.