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Finding the Fourth Proportional to 230.32, 345.02 and 175.53

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Solution

The fourth proportional to 230.32, 345.02 and 175.53 is: 262.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 345.02 = 175.53 : x
  2. Step 2: Convert to fraction form
    230.32/345.02 = 175.53/x
  3. Step 3: Cross multiply
    230.32x = 345.02 × 175.53
  4. Step 4: Simplify right side
    230.32x = 60,561.56
  5. Step 5: Solve for x
    x = 60,561.56/230.32
  6. Step 6: Final answer
    x = 262.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.