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Finding the Fourth Proportional to 333.84, 500.53 and 160.26

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Solution

The fourth proportional to 333.84, 500.53 and 160.26 is: 240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.84 : 500.53 = 160.26 : x
  2. Step 2: Convert to fraction form
    333.84/500.53 = 160.26/x
  3. Step 3: Cross multiply
    333.84x = 500.53 × 160.26
  4. Step 4: Simplify right side
    333.84x = 80,214.94
  5. Step 5: Solve for x
    x = 80,214.94/333.84
  6. Step 6: Final answer
    x = 240.28

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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.