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Finding the Fourth Proportional to 333.66, 500.14 and 160.07

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Solution

The fourth proportional to 333.66, 500.14 and 160.07 is: 239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.66 : 500.14 = 160.07 : x
  2. Step 2: Convert to fraction form
    333.66/500.14 = 160.07/x
  3. Step 3: Cross multiply
    333.66x = 500.14 × 160.07
  4. Step 4: Simplify right side
    333.66x = 80,054.91
  5. Step 5: Solve for x
    x = 80,054.91/333.66
  6. Step 6: Final answer
    x = 239.93

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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.