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Finding the Fourth Proportional to 233.38, 349.72 and 209.00

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Solution

The fourth proportional to 233.38, 349.72 and 209.00 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.38 : 349.72 = 209.00 : x
  2. Step 2: Convert to fraction form
    233.38/349.72 = 209.00/x
  3. Step 3: Cross multiply
    233.38x = 349.72 × 209.00
  4. Step 4: Simplify right side
    233.38x = 73,089.86
  5. Step 5: Solve for x
    x = 73,089.86/233.38
  6. Step 6: Final answer
    x = 313.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.