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Finding the Fourth Proportional to 233.06, 348.71 and 203.00

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Solution

The fourth proportional to 233.06, 348.71 and 203.00 is: 303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.06 : 348.71 = 203.00 : x
  2. Step 2: Convert to fraction form
    233.06/348.71 = 203.00/x
  3. Step 3: Cross multiply
    233.06x = 348.71 × 203.00
  4. Step 4: Simplify right side
    233.06x = 70,785.37
  5. Step 5: Solve for x
    x = 70,785.37/233.06
  6. Step 6: Final answer
    x = 303.73

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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.