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Finding the Fourth Proportional to 233.67, 350.10 and 209.58

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Solution

The fourth proportional to 233.67, 350.10 and 209.58 is: 314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.67 : 350.10 = 209.58 : x
  2. Step 2: Convert to fraction form
    233.67/350.10 = 209.58/x
  3. Step 3: Cross multiply
    233.67x = 350.10 × 209.58
  4. Step 4: Simplify right side
    233.67x = 73,373.96
  5. Step 5: Solve for x
    x = 73,373.96/233.67
  6. Step 6: Final answer
    x = 314.01

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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.