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Finding the Fourth Proportional to 313.51, 470.26 and 121.00

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Solution

The fourth proportional to 313.51, 470.26 and 121.00 is: 181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.51 : 470.26 = 121.00 : x
  2. Step 2: Convert to fraction form
    313.51/470.26 = 121.00/x
  3. Step 3: Cross multiply
    313.51x = 470.26 × 121.00
  4. Step 4: Simplify right side
    313.51x = 56,899.11
  5. Step 5: Solve for x
    x = 56,899.11/313.51
  6. Step 6: Final answer
    x = 181.49

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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.