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Finding the Fourth Proportional to 233.07, 348.92 and 146.13

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Solution

The fourth proportional to 233.07, 348.92 and 146.13 is: 218.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.07 : 348.92 = 146.13 : x
  2. Step 2: Convert to fraction form
    233.07/348.92 = 146.13/x
  3. Step 3: Cross multiply
    233.07x = 348.92 × 146.13
  4. Step 4: Simplify right side
    233.07x = 50,986.95
  5. Step 5: Solve for x
    x = 50,986.95/233.07
  6. Step 6: Final answer
    x = 218.76

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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.