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Finding the Fourth Proportional to 666.14, 999.18 and 233.33

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Solution

The fourth proportional to 666.14, 999.18 and 233.33 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.14 : 999.18 = 233.33 : x
  2. Step 2: Convert to fraction form
    666.14/999.18 = 233.33/x
  3. Step 3: Cross multiply
    666.14x = 999.18 × 233.33
  4. Step 4: Simplify right side
    666.14x = 233,138.67
  5. Step 5: Solve for x
    x = 233,138.67/666.14
  6. Step 6: Final answer
    x = 349.98

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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.