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Finding the Fourth Proportional to 233.57, 348.27 and 209.98

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Solution

The fourth proportional to 233.57, 348.27 and 209.98 is: 313.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 348.27 = 209.98 : x
  2. Step 2: Convert to fraction form
    233.57/348.27 = 209.98/x
  3. Step 3: Cross multiply
    233.57x = 348.27 × 209.98
  4. Step 4: Simplify right side
    233.57x = 73,129.73
  5. Step 5: Solve for x
    x = 73,129.73/233.57
  6. Step 6: Final answer
    x = 313.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.