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Finding the Fourth Proportional to 233.74, 351.03 and 168.98

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Solution

The fourth proportional to 233.74, 351.03 and 168.98 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 351.03 = 168.98 : x
  2. Step 2: Convert to fraction form
    233.74/351.03 = 168.98/x
  3. Step 3: Cross multiply
    233.74x = 351.03 × 168.98
  4. Step 4: Simplify right side
    233.74x = 59,317.12
  5. Step 5: Solve for x
    x = 59,317.12/233.74
  6. Step 6: Final answer
    x = 253.78

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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.