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Finding the Fourth Proportional to 230.64, 345.32 and 120.72

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Solution

The fourth proportional to 230.64, 345.32 and 120.72 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 345.32 = 120.72 : x
  2. Step 2: Convert to fraction form
    230.64/345.32 = 120.72/x
  3. Step 3: Cross multiply
    230.64x = 345.32 × 120.72
  4. Step 4: Simplify right side
    230.64x = 41,687.03
  5. Step 5: Solve for x
    x = 41,687.03/230.64
  6. Step 6: Final answer
    x = 180.75

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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.