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Finding the Fourth Proportional to 230.76, 346.28 and 102.52

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Solution

The fourth proportional to 230.76, 346.28 and 102.52 is: 153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.76 : 346.28 = 102.52 : x
  2. Step 2: Convert to fraction form
    230.76/346.28 = 102.52/x
  3. Step 3: Cross multiply
    230.76x = 346.28 × 102.52
  4. Step 4: Simplify right side
    230.76x = 35,500.63
  5. Step 5: Solve for x
    x = 35,500.63/230.76
  6. Step 6: Final answer
    x = 153.84

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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.