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Finding the Fourth Proportional to 313.93, 433.25 and 174.06

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Solution

The fourth proportional to 313.93, 433.25 and 174.06 is: 240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.93 : 433.25 = 174.06 : x
  2. Step 2: Convert to fraction form
    313.93/433.25 = 174.06/x
  3. Step 3: Cross multiply
    313.93x = 433.25 × 174.06
  4. Step 4: Simplify right side
    313.93x = 75,411.28
  5. Step 5: Solve for x
    x = 75,411.28/313.93
  6. Step 6: Final answer
    x = 240.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.