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Finding the Fourth Proportional to 230.53, 345.80 and 76.46

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Solution

The fourth proportional to 230.53, 345.80 and 76.46 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.53 : 345.80 = 76.46 : x
  2. Step 2: Convert to fraction form
    230.53/345.80 = 76.46/x
  3. Step 3: Cross multiply
    230.53x = 345.80 × 76.46
  4. Step 4: Simplify right side
    230.53x = 26,439.49
  5. Step 5: Solve for x
    x = 26,439.49/230.53
  6. Step 6: Final answer
    x = 114.69

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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.