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Finding the Fourth Proportional to 305.83, 422.18 and 232.17

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Solution

The fourth proportional to 305.83, 422.18 and 232.17 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.83 : 422.18 = 232.17 : x
  2. Step 2: Convert to fraction form
    305.83/422.18 = 232.17/x
  3. Step 3: Cross multiply
    305.83x = 422.18 × 232.17
  4. Step 4: Simplify right side
    305.83x = 98,017.53
  5. Step 5: Solve for x
    x = 98,017.53/305.83
  6. Step 6: Final answer
    x = 320.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.