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Finding the Fourth Proportional to 233.98, 323.00 and 146.77

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Solution

The fourth proportional to 233.98, 323.00 and 146.77 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.98 : 323.00 = 146.77 : x
  2. Step 2: Convert to fraction form
    233.98/323.00 = 146.77/x
  3. Step 3: Cross multiply
    233.98x = 323.00 × 146.77
  4. Step 4: Simplify right side
    233.98x = 47,405.98
  5. Step 5: Solve for x
    x = 47,405.98/233.98
  6. Step 6: Final answer
    x = 202.61

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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.