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Finding the Fourth Proportional to 233.40, 348.63 and 232.32

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Solution

The fourth proportional to 233.40, 348.63 and 232.32 is: 347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 348.63 = 232.32 : x
  2. Step 2: Convert to fraction form
    233.40/348.63 = 232.32/x
  3. Step 3: Cross multiply
    233.40x = 348.63 × 232.32
  4. Step 4: Simplify right side
    233.40x = 80,993.72
  5. Step 5: Solve for x
    x = 80,993.72/233.40
  6. Step 6: Final answer
    x = 347.02

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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.