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Finding the Fourth Proportional to 233.10, 350.64 and 229.86

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Solution

The fourth proportional to 233.10, 350.64 and 229.86 is: 345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 350.64 = 229.86 : x
  2. Step 2: Convert to fraction form
    233.10/350.64 = 229.86/x
  3. Step 3: Cross multiply
    233.10x = 350.64 × 229.86
  4. Step 4: Simplify right side
    233.10x = 80,598.11
  5. Step 5: Solve for x
    x = 80,598.11/233.10
  6. Step 6: Final answer
    x = 345.77

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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.